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A069238 Numerator of coefficient G_n defined by Sum_{ (m,m') != (0,0)} 1/(m+m'*sqrt(-2))^(2*n) = (4*w)^(2*n)*G_n/(2*n)!, where 2w is one of the periods of the associated Weierstrass P-function. 2

%I #4 Jun 23 2014 16:31:11

%S 2,1,2,10,700,700,9800,3185000,85358000,1484210000,4904900000,

%T 213514756000,10932576200000,651421552600000,491216647558000000,

%U 59347135259594000000,308654469531044000000,582291574342534420000000,3395537788696824680000000

%N Numerator of coefficient G_n defined by Sum_{ (m,m') != (0,0)} 1/(m+m'*sqrt(-2))^(2*n) = (4*w)^(2*n)*G_n/(2*n)!, where 2w is one of the periods of the associated Weierstrass P-function.

%D E. Dintzl, Über die Zahlen im Koerper k(sqrt(-2)), welche den Bernoulli'schen Zahlen analog sind, Sitz. K. Akad. Wiss. Wien, Math.-Naturw. Klasse, 108 (1909), 1-29.

%F For n >= 2, G_n = A069182(n-1)*(2*n)/(2^(2*n-1)*(-1+(-2)^n)).

%e G_1, G_2, ... = 2/3, 1/3, 2/3, 10/3, 700/33, 700/3, 9800/3, 3185000/51, ...

%Y Cf. A069239, A069182, A069240.

%K nonn,frac

%O 1,1

%A _N. J. A. Sloane_, Apr 13 2002

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)