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A276592 Numerator of the rational part of the sum of reciprocals of even powers of odd numbers, i.e., Sum_{k>=1} 1/(2*k-1)^(2*n). 4
1, 1, 1, 17, 31, 691, 5461, 929569, 3202291, 221930581, 4722116521, 56963745931, 14717667114151, 2093660879252671, 86125672563201181, 129848163681107301953, 868320396104950823611, 209390615747646519456961, 14129659550745551130667441, 16103843159579478297227731 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..276

FORMULA

a(n)/A276593(n) + A276594(n)/A276595(n) = A046988(n)/A002432(n).

a(n)/A276593(n) = (-1)^(n+1) * B_{2*n} * (2^(2*n) - 1) / (2 * (2*n)!), where B_n is the Bernoulli number. - Seiichi Manyama, Sep 03 2018

MAPLE

seq(numer(sum(1/(2*k-1)^(2*n), k=1..infinity)/Pi^(2*n)), n=1..22);

CROSSREFS

Cf. A002432, A046988, A276593, A276594, A276595.

Sequence in context: A146462 A089171 A279370 * A002425 A275994 A046990

Adjacent sequences:  A276589 A276590 A276591 * A276593 A276594 A276595

KEYWORD

nonn,frac

AUTHOR

Martin Renner, Sep 07 2016

STATUS

approved

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Last modified October 21 08:00 EDT 2018. Contains 316405 sequences. (Running on oeis4.)