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A047680 a(n) = 2^(2*n-2) * (2^(2*n-1)-1) * numerator(|Bernoulli(4*n)|/n). 1

%I #25 Nov 30 2022 08:01:08

%S 1,28,342736,29398976,22841912576,495449389339648,113828913905979392,

%T 4138783908783021080576,226044736813811127599528869888,

%U 35882867158508587149623987273728,5564179808875681941887049052192768,197363311803624016534960016288517315362816

%N a(n) = 2^(2*n-2) * (2^(2*n-1)-1) * numerator(|Bernoulli(4*n)|/n).

%H <a href="/index/Be#Bernoulli">Index entries for sequences related to Bernoulli numbers</a>

%p (-1)*2^(2*n-2)*(2^(2*n-1)-1)*numer(bernoulli(4*n)/n);

%o (PARI) a(n) = 2^(2*n-2) * (2^(2*n-1)-1) * numerator(abs(bernfrac(4*n))/n); \\ _Michel Marcus_, Nov 30 2022

%Y Cf. A189995 (similar formula).

%K nonn

%O 1,2

%A _N. J. A. Sloane_

%E Edited by _Andrey Zabolotskiy_, Nov 30 2022

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Last modified April 16 04:17 EDT 2024. Contains 371696 sequences. (Running on oeis4.)