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A366355 a(n) = (-1)^n * QPochhammer(n, n, n). 0
1, 0, 3, 416, 722925, 23205371904, 17674407688984375, 384914699001548351078400, 278893192683059452825059069034425, 7650586837724400321220283274999910891520000, 8900101000088880011112998877890031110997889100010099891 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Table of n, a(n) for n=0..10.
Eric Weisstein's World of Mathematics, q-Pochhammer Symbol.
FORMULA
For n>0, a(n) = (1 - 1/n)^n * Product_{k=1..n} Sum_{j=1..k} n^j.
a(n) ~ n^(n*(n+1)/2).
MATHEMATICA
Table[(-1)^n * QPochhammer[n, n, n], {n, 0, 12}]
Join[{1}, Table[Product[Sum[n^j, {j, 1, k}], {k, 1, n}] * (1 - 1/n)^n, {n, 1, 12}]]
CROSSREFS
Cf. A023813.
Sequence in context: A305664 A152517 A333134 * A213001 A229751 A172859
Adjacent sequences: A366352 A366353 A366354 * A366356 A366357 A366358
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Oct 08 2023
STATUS
approved

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Last modified August 6 14:16 EDT 2024. Contains 374974 sequences. (Running on oeis4.)