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#15 by N. J. A. Sloane at Fri Oct 27 22:00:44 EDT 2023
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| AUTHOR
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Asher Auel (asher.auel(AT)reed.edu)
Asher Auel
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Discussion
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| Fri Oct 27
| 22:00
| OEIS Server: https://oeis.org/edit/global/2974
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#14 by Charles R Greathouse IV at Sat Jul 13 12:02:17 EDT 2013
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| LINKS
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_Reinhard Zumkeller_, <, <a href="/A051632/b051632.txt">Rows n=0..100 of triangle, flattened</a>
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Discussion
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| Sat Jul 13
| 12:02
| OEIS Server: https://oeis.org/edit/global/1934
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#13 by N. J. A. Sloane at Fri Feb 22 21:37:10 EST 2013
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| LINKS
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_Reinhard Zumkeller, <_, <a href="/A051632/b051632.txt">Rows n=0..100 of triangle, flattened</a>
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| PROG
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-- -- _Reinhard Zumkeller, _, Aug 21 2011
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Discussion
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| Fri Feb 22
| 21:37
| OEIS Server: https://oeis.org/edit/global/1866
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#12 by Russ Cox at Fri Mar 30 17:34:12 EDT 2012
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| FORMULA
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-t(n,k)=((2*k + 1 - n)/(k + 1))*Binomial[n, k] + ((1 - n + 2 (-k + n))/(1 - k + n)) Binomial[n, -k + n]. [From _Roger L. Bagula (rlbagulatftn(AT)yahoo.com), _, Feb 17 2009]
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Discussion
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| Fri Mar 30
| 17:34
| OEIS Server: https://oeis.org/edit/global/158
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#11 by T. D. Noe at Mon Aug 22 13:12:43 EDT 2011
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#10 by Joerg Arndt at Mon Aug 22 04:42:05 EDT 2011
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#9 by Joerg Arndt at Mon Aug 22 04:42:00 EDT 2011
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| EXAMPLE
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Contribution from Roger L. Bagula (rlbagulatftn(AT)yahoo.com), , Feb 17 2009: (Start)a The rows of the triangle, negated, are:
The rows of the triangle, negated, are:
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| MATHEMATICA
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Contribution from Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 17 2009: (Start)
Flatten[%] (End)
Flatten[%] (* Roger L. Bagula , Feb 17 2009 *)
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| CROSSREFS
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A156644 [From Roger L. Bagula (rlbagulatftn(AT)yahoo.com), , Feb 17 2009]
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| STATUS
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proposed
editing
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#8 by Reinhard Zumkeller at Sun Aug 21 11:10:58 EDT 2011
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Discussion
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| Sun Aug 21
| 15:22
| T. D. Noe: Can you look at A143204? Thanks!
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#7 by Reinhard Zumkeller at Sun Aug 21 11:10:51 EDT 2011
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| LINKS
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Reinhard Zumkeller, <a href="/A051632/b051632.txt">Table of n, a(n) forRows n = =0..5150100 of triangle, flattened</a>
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| STATUS
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proposed
editing
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#6 by Reinhard Zumkeller at Sun Aug 21 11:08:11 EDT 2011
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