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A334605
Denominator of Sum_{k=1..n} (-1)^(k+1)/k^6.
3
1, 64, 46656, 2985984, 46656000000, 5184000000, 609892416000000, 39033114624000000, 256096265048064000000, 256096265048064000000, 453690155404813307904000000, 453690155404813307904000000, 2189875725319351517910798336000000
OFFSET
1,2
COMMENTS
Lim_{n -> infinity} A136677(n)/a(n) = A275703 = (31/32)*A013664.
EXAMPLE
The first few fractions are: 1, 63/64, 45991/46656, 2942695/2985984, 45982595359/46656000000, 5109066151/5184000000, ... = A136677/A334605.
MATHEMATICA
Denominator @ Accumulate[Table[(-1)^(k + 1)/k^6, {k, 1, 13}]] (* Amiram Eldar, May 07 2020 *)
PROG
(PARI) a(n) = denominator(sum(k=1, n, (-1)^(k+1)/k^6)); \\ Michel Marcus, May 07 2020
CROSSREFS
Cf. A013664, A136677 (numerators), A275703.
Sequence in context: A283924 A016830 A249076 * A103346 A123394 A069445
KEYWORD
nonn,frac
AUTHOR
Petros Hadjicostas, May 07 2020
STATUS
approved