login
A334669
Denominator of Sum_{k=1..n} (-1)^(k+1)/k^7.
3
1, 128, 279936, 35831808, 2799360000000, 2799360000000, 2305393332480000000, 295090346557440000000, 645362587921121280000000, 645362587921121280000000, 12576291107821424895098880000000, 12576291107821424895098880000000, 789143616376081512994335288360960000000
OFFSET
1,2
COMMENTS
Lim_{n -> infinity} A334668(n)/a(n) = A275710 = (63/64)*A013665.
LINKS
EXAMPLE
The first few fractions are 1, 127/128, 277877/279936, 35566069/35831808, 2778634972433/2799360000000, 2778624972433/2799360000000, ... = A334668/A334669.
MATHEMATICA
Denominator @ Accumulate[Table[(-1)^(k + 1)/k^7, {k, 1, 13}]] (* Amiram Eldar, May 08 2020 *)
PROG
(PARI) a(n) = denominator(sum(k=1, n, (-1)^(k+1)/k^7)); \\ Michel Marcus, May 08 2020
CROSSREFS
Cf. A013665, A275710, A334668 (numerators).
Sequence in context: A283926 A016831 A103348 * A069446 A227605 A016879
KEYWORD
nonn,frac
AUTHOR
Petros Hadjicostas, May 07 2020
STATUS
approved