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A344918 a(n) = denominator(4^(n + 1)*zeta(-n, 1/4)). 1

%I #5 Jul 09 2021 14:58:52

%S 1,6,1,60,1,126,1,120,1,66,1,16380,1,6,1,4080,1,7182,1,3300,1,138,1,

%T 32760,1,6,1,1740,1,42966,1,8160,1,6,1,34545420,1,6,1,270600,1,37926,

%U 1,1380,1,282,1,1113840,1,66,1,3180,1,21546,1,3480,1,354,1,1703601900

%N a(n) = denominator(4^(n + 1)*zeta(-n, 1/4)).

%e Rational sequence starts: 1, 1/6, -1, -7/60, 5, 31/126, -61, -127/120, 1385, ...

%p seq(denom(4^(n + 1)*Zeta(0, -n, 1/4)), n = 0..59);

%o (SageMath)

%o def a(n): return 4^(n+1)*hurwitz_zeta(-n, 1/4)

%o print([a(n).denominator() for n in (0..59)])

%Y Cf. A344917 (numerators).

%K nonn,frac

%O 0,2

%A _Peter Luschny_, Jul 09 2021

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Last modified May 6 14:37 EDT 2024. Contains 372294 sequences. (Running on oeis4.)