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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
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. 2*A000537 and A163102 (with sum instead of product).
Sequence in context: A364173 A239404 A220301 * A330486 A016795 A222054
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jan 17 2019
STATUS
approved

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)