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A255434 Product_{k=0..n} (k^4+1). 8
1, 2, 34, 2788, 716516, 448539016, 581755103752, 1397375759212304, 5725048485492809488, 37567768161803815860256, 375715249386199962418420256, 5501222681512739849730509388352, 114078854746529686263861573186255424, 3258320249270380899068414253345827420288 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..13.

Erhan Gürela, Ali Ulas Özgür Kisisel, A note on the products (1^mu + 1)(2^mu + 1)···(n^mu + 1), Journal of Number Theory, Volume 130, Issue 1, January 2010, Pages 187-191.

FORMULA

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

MATHEMATICA

Table[Product[k^4 + 1, {k, 0, n}], {n, 0, 15}]

PROG

(PARI) a(n) = prod(k=1, n, 1+k^4); \\ Michel Marcus, Jan 25 2016

CROSSREFS

Cf. A101686, A255433, A255435, A144663.

Sequence in context: A207865 A216082 A165938 * A206501 A183414 A002782

Adjacent sequences:  A255431 A255432 A255433 * A255435 A255436 A255437

KEYWORD

nonn,easy

AUTHOR

Vaclav Kotesovec, Feb 23 2015

STATUS

approved

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Last modified March 23 03:02 EDT 2019. Contains 321422 sequences. (Running on oeis4.)