[ last modified: 2008-10-20 ]

Natural Number Summation Sequence Magic Numbers2 8 18 32 50 72 98 128 162 200 242 288 338 392 450 nthese numbers relate to nnss pairs [ 04-04-07 insert: for those it aids: - The natural number summation sequence (nnss) consists of whole numbers derived from all the positive whole numbers. All the positive whole numbers include zero. So: 0 + 1 = 1, making "1" the first sum. 1 + 2 = 3, making "3" the second sum. These two numbers constitute the first nnss pair. They are both odd positive whole numbers, and "2" is the magic number between them. In the nnss each new sum is a member of a pair of either odd sums or even sums, and each of these sums is either the "< run" (< = less than) sum or the "> run" (> = greater than) sum in its pair, and each sum is a term in the nnss. Odd nnss pairs alternate with even nnss pairs; therefore, the pair following the "1" / "3" pair is going to be an even pair. Okay: 3 + 3 = 6, and 4 + 6 = 10. The "magic" number between 6 and 10 is "8", wherein 8 - 2 = 6 and 8 + 2 = 10 (which is the sum of 0 + 1 + 2 + 3 + 4). Inmyreckoning I assign what I call a "termposition" (tpo) to each pair, and I use this tpo for deriving the nnss terms in that pair. Do I need to know in advance a given pair of nnss terms? No. However, this: The first termposition here is "1" and each succeeding termposition is the next greater positive whole number. Also, if a termpositon is an odd positive whole number, the nnss terms derivable from it will be "opwn" values. If a termpostion is an even positive whole number, the nnss terms derivable from it will be "epwn" values. See below for formulas. Given this fact, any tpo from "1" into forever can be chosen to discover a pair of nnss terms, the greater of which is the sum of all the positive whole numbers through that "pwn" which is equal to the tpochosen times 2. In my "in memory of Gauss" example below, 5050 is the sum of its 50 tpo times 2 (the sum of all the consecutive positive whole numbers through 100). My apologies to those for whom this information in unnecessary.Brian A. J. Salchert] # tpo = termposition tpo x 2tpo = nnss magic number - 2tpo = spread between the nnss terms at its tpo - - At tpo 50 the nnss m n = 5000 and the "< run" nnss term = 4950 and the "> run" nnss term = 5050 (in memory of Gauss) # tpo 122 - 1 = 1 2 + 1 = 3 tpo 288 - 2 = 6 8 + 2 = 10 tpo 31818 - 3 = 15 18 + 3 = 21 tpo 43232 - 4 = 28 32 + 4 = 36 tpo 55050 - 5 = 45 50 + 5 = 55 tpo 67272 - 6 = 66 72 + 6 = 78 tpo 79898 - 7 = 91 98 + 7 = 105 see number theory entry - nnssmagic salcherts termposition mathematics bajs math entry 6 see for Wolfram MathWorld Natural Number recommended terminology # Brian A. J. Salchert

is a tiny wandering imaginary dinosaur which migrated from AOL in October of 2008.

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- brian (baj) salchert
- Rhodingeedaddee is my node blog. See
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## Guide

[6-16-2009 Update Insert: Most of what is in this space is now moot. I found out what I was doing wrong and have reinstated Archives and Labels searches. They do work. However, in certain cases you may prefer Labels to Archives. Example: 1976 Today begins in November of 2006 and concludes in December of 2006, but there are other related posts in other months. Note: Labels only shows 20 posts at a time. There are 21 hubs, making 21 (which is for 1976 Today) an older hub.] ********************************* to my online poems and song lyrics using Archives. Use hubs for finding archival locations but do not link through them. Originally an AOL Journal, where the archive system was nothing like the system here, this blog was migrated from there to here in October of 2008. Today (Memorial/Veteran's Day, May 25, 2009) I discovered a glitch when trying to use a Blogger archive. Now, it may be template-related, but I am unable to return to S M or to the dashboard once I am in the Archives. Therefore, I've decided on this approach: a month-by-month post guide. The sw you see in the codes here stood for Salchert's Weblog when I began it in November of 2006. It later became Sprintedon Hollow. AOL provided what were called entry numbers, but they weren't consistent, and they didn't begin at the first cardinal number. That is why the numbers after "sw" came to be part of a post's code. ************** Here then is the month-by-month post guide: *2006* November: 00001 through 00046 - December: 00047 through 00056 -- *2007* January: 00057 through 00137 - February: 00138 through 00241 - March: 00242 through 00295 - April: 00296 through 00356 - May: 00357 through 00437 - June: 00438 through 00527 - July: 00528 though 00550 - August: 00551 through 00610 - September: 00611 through 00625 - October: 00626 through 00657 - November: 00658 through 00729 - December: 00730 through 00762 -- *2008* January: 00763 through 00791 - February: 00792 through 00826 - March: 00827 through 00849 - April: 00850 through 00872 - May: 00873 through 00907 - June: 00908 through 00931 - July: 00932 through 00955 - August: 00956 through 00993 - September 00994 through 01005 - October: 01006 through 01007 - November: 01008 through 01011 - December: 01012 through 01014 -- *2009* January: 01015 through 01021 - February: 01022 through 01028 - March: 01029 through 01033 - April: 01034 through 01036 - May: 01037 through 01044 - ******************************************************* 1976 Today: 2006/11 and 2006/12 -- Rooted Sky 2007: 2007/01/00063rsc -- Postures 2007: 2007/01/sw00137pc -- Sets: 2007/02/sw00215sgc -- Venturings: 2007/03/00216vc -- The Undulant Trees: 2007/03/00266utc -- This Day's Poem: 2007/03/00267tdpc -- Autobio: 2007/04/sw00316ac -- Fond du Lac: 2007/04/00339fdl -- Justan Tamarind: 2007/05/sw00366jtc -- Prayers in December: 2007/05/sw00393pindc -- June 2007: 2007/06/sw00440junec -- Seminary: 2007/07/sw00533semc -- Scatterings: 2008/08/00958sc ** Song Lyrics: 2008/02/sw00797slc ********** 2009-06-02: Have set S M to show 200 posts per page. Unfortunately, you will need to scroll to nearly the bottom of a page to get to the next older/newer page.

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## Saturday, March 31, 2007

### sw00295math-nnssmagic.numbers

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