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A354054 a(n) = Product_{k=0..n} (k^6 + 1). 1
1, 2, 130, 94900, 388805300, 6075471617800, 283463279271694600, 33349454806314869690000, 8742392830201411514885050000, 4646074730467898538293540742100000, 4646079376542629006192079035640742100000, 8230817672466612927467651920537784356160200000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) ~ (2*sinh(2*Pi) - 4*sinh(Pi)*cos(sqrt(3)*Pi)) * n^(6*n + 3) / exp(6*n).
a(n) ~ A258871 * (n!)^6.
MAPLE
A354054 := proc(n)
mul( k^6+1, k=0..n) ;
end proc:
seq(A354054(n), n=0..40) ; # R. J. Mathar, Jul 17 2023
MATHEMATICA
Table[Product[k^6 + 1, {k, 0, n}], {n, 0, 15}]
PROG
(PARI) a(n) = prod(k=1, n, k^6+1);
CROSSREFS
Sequence in context: A098533 A182421 A218434 * A303445 A158110 A117626
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, May 16 2022
STATUS
approved

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Last modified April 15 05:45 EDT 2024. Contains 371667 sequences. (Running on oeis4.)