Revision History for A285551
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A285551
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Volume of each square prism building the next 3-dimensional box in A100538 where side lengths form the Padovan spiral number sequence (A134816), starting with 1 X 1 X 1, 1 X 1 X 2, 2 X 2 X 2, 2 X 2 X 3, 4 X 4 X 5, ...
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published version)
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#64 by N. J. A. Sloane at Sat Dec 07 12:18:29 EST 2019
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def A(n): return sum([binomial(k, n - 2*k) for k in xrangerange(int(n/2) + 1)])
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Discussion
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Sat Dec 07
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| OEIS Server: https://oeis.org/edit/global/2837
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#63 by N. J. A. Sloane at Wed Jul 19 21:33:38 EDT 2017
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#62 by Vincenzo Librandi at Wed Jul 19 03:00:25 EDT 2017
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#61 by Vincenzo Librandi at Wed Jul 19 03:00:06 EDT 2017
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Vincenzo Librandi, <a href="/A285551/b285551.txt">Table of n, a(n) for n = 1..1000</a>
<a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (1,2,3,-2, 4,-4,-1,-1,0,-1).
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LinearRecurrence[{1, 2, 3, -2, 4, -4, -1, -1, 0, -1}, {1, 2, 8, 12, 36, 80, 175, 441, 972, 2304}, 40] (* Vincenzo Librandi, Jul 19 2017 *)
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reviewed
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#60 by Michel Marcus at Wed Jul 19 01:51:56 EDT 2017
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#59 by Jon E. Schoenfield at Wed Jul 19 01:45:26 EDT 2017
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#58 by Jon E. Schoenfield at Wed Jul 19 01:45:23 EDT 2017
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| NAME
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Volume of each square prism building the next 3-dimensional box in A100538 where side lengths form the Padovan spiral number sequence (A134816), starting with 1 X 1 X 1x1x11, 1x1x21 X 1 X 2, 2x2x22 X 2 X 2, 2x2x32 X 2 X 3, 4x4x5 ...4 X 4 X 5, ...
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approved
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#57 by N. J. A. Sloane at Sun May 14 22:52:01 EDT 2017
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#56 by Danny Rorabaugh at Wed May 03 22:27:01 EDT 2017
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#55 by Danny Rorabaugh at Wed May 03 22:26:42 EDT 2017
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| LINKS
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Robert Dickau "Padovan's Spiral, <a Numbers" href="http://demonstrations.wolfram.com/PadovansSpiralNumbers//">Padovan's Spiral Numbers</a>, Wolfram Demonstrations Project Published: August 19, 2010.
Wolfram Demonstrations Project Published: August 19, 2010.
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proposed
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