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A152291
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a(n) = (n+1)^floor((n-1)/2).
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2
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1, 1, 1, 4, 5, 36, 49, 512, 729, 10000, 14641, 248832, 371293, 7529536, 11390625, 268435456, 410338673, 11019960576, 16983563041, 512000000000, 794280046581, 26559922791424, 41426511213649, 1521681143169024, 2384185791015625
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..24.
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FORMULA
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Row sums of A152290 at q=-1: a(n) = Sum_{k=0..n(n-1)/2} A152290(n,k)*(-1)^k.
a(n) = denominator((-3+(-1)^n)*((1-sqrt(1+n+1/(1+n)))^n-(1+sqrt(1+n+1/(1+n)))^n)/(8*sqrt(1+n+1/(1+n)))). - Gerry Martens, May 31 2015
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PROG
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(PARI) a(n)=(n+1)^floor((n-1)/2)
(PARI) vector(30, n, n--; (n+1)^((n-1)\2)) \\ Michel Marcus, Jun 01 2015
(MAGMA) [(n+1)^((n-1) div 2): n in [0..30]]; // Vincenzo Librandi, May 31 2015
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CROSSREFS
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Cf. A152290, A000272.
Sequence in context: A243275 A269782 A131139 * A336024 A228798 A041557
Adjacent sequences: A152288 A152289 A152290 * A152292 A152293 A152294
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna, Dec 02 2008
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STATUS
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approved
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