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A323544
a(n) = Product_{k=0..n} (k^6 + (n-k)^6).
13
0, 1, 8192, 2245338225, 1144394036019200, 2577023355527587890625, 13410804447068120796679372800, 172661401915668867785003701060950625, 4548909593429214367033270472265433088000000, 234845240509381890690238640158397433600579682850625
OFFSET
0,3
LINKS
FORMULA
a(n) ~ exp(((15 - 4*sqrt(3))*Pi/6 - 6)*n) * n^(6*n+6).
MATHEMATICA
Table[Product[k^6+(n-k)^6, {k, 0, n}], {n, 0, 10}]
PROG
(Magma) [(&*[(k^6 + (n-k)^6): k in [0..n]]): n in [0..10]]; // Vincenzo Librandi, Jan 18 2019
(PARI) m=6; vector(10, n, n--; prod(k=0, n, k^m + (n-k)^m)) \\ G. C. Greubel, Jan 18 2019
(Sage) m=6; [product(k^m +(n-k)^m for k in (0..n)) for n in (0..10)] # G. C. Greubel, Jan 18 2019
CROSSREFS
Cf. 2*A000540 and A259109 (with sum instead of product).
Sequence in context: A138031 A236221 A300567 * A230190 A017689 A013961
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jan 17 2019
STATUS
approved