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A323541 a(n) = Product_{k=0..n} (k^3 + (n-k)^3). 14
0, 1, 128, 59049, 51380224, 80869140625, 207351578198016, 811509810302822449, 4603095542875667038208, 36344623587588604291790241, 386644580358400000000000000000, 5395532942025804980378907333844441, 96578621213529440721046520779140759552 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..158

FORMULA

a(n) ~ exp(2*(Pi/(3*sqrt(3))-1)*n) * n^(3*n + 3).

MATHEMATICA

Table[Product[k^3+(n-k)^3, {k, 0, n}], {n, 0, 15}]

PROG

(PARI) m=3; vector(15, n, n--; prod(k=0, n, k^m + (n-k)^m)) \\ G. C. Greubel, Jan 18 2019

(MAGMA) m:=3; [(&*[k^m + (n-k)^m: k in [0..n]]): n in [0..15]]; // G. C. Greubel, Jan 18 2019

(Sage) m=3; [product(k^m +(n-k)^m for k in (0..n)) for n in (0..15)] # G. C. Greubel, Jan 18 2019

CROSSREFS

Cf. A272246, A323496, A323540, A323542, A323543, A323544, A323545, A323546.

Cf. 2*A000537 and A163102 (with sum instead of product).

Sequence in context: A239648 A239404 A220301 * A016795 A222054 A283926

Adjacent sequences:  A323538 A323539 A323540 * A323542 A323543 A323544

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Jan 17 2019

STATUS

approved

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Last modified March 26 00:20 EDT 2019. Contains 321478 sequences. (Running on oeis4.)