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A323543 a(n) = Product_{k=0..n} (k^5 + (n-k)^5). 14
0, 1, 2048, 64304361, 3995393327104, 775913238525390625, 320224500476333990608896, 273342392644434762426370643281, 429621172463958849019228299940855808, 1175198860360296464427314161342724729270241, 5278148679274118560000000000000000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..104

FORMULA

a(n) ~ exp((2*Pi*sqrt(5 - 2/sqrt(5))/5 - 4)*n) * n^(5*n+5).

MATHEMATICA

Table[Product[k^5+(n-k)^5, {k, 0, n}], {n, 0, 12}]

PROG

(MAGMA) [(&*[(k^5 + (n-k)^5): k in [0..n]]): n in [0..12]]; // Vincenzo Librandi, Jan 18 2019

(PARI) m=5; vector(12, n, n--; prod(k=0, n, k^m +(n-k)^m)) \\ G. C. Greubel, Jan 18 2019

(Sage) m=5; [product(k^m +(n-k)^m for k in (0..n)) for n in (0..12)] # G. C. Greubel, Jan 18 2019

CROSSREFS

Cf. A272248, A323533, A323540, A323541, A323542, A323544, A323545, A323546.

Cf. 2*A000539 (with sum instead of product).

Sequence in context: A013702 A016751 A016799 * A016835 A016883 A016943

Adjacent sequences:  A323540 A323541 A323542 * A323544 A323545 A323546

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Jan 17 2019

STATUS

approved

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Last modified February 16 19:29 EST 2019. Contains 320167 sequences. (Running on oeis4.)