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A069239 Denominator 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 #7 Apr 13 2024 22:51:13

%S 3,3,3,3,33,3,3,51,57,33,3,3,3,3,33,51,3,57,3,1353,129,3,3,51,33,3,57,

%T 3,177,33,3,51,201,3,33,4161,3,3,3,23001,249,129,3,267,627,3,3,4947,3,

%U 33,3,3,321,57,33,5763,3,177,3,1353,3,3,2451,51,4323,201

%N Denominator 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. A069238, A069182, A069240.

%K nonn,frac

%O 1,1

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

%E More terms from _Sean A. Irvine_, Apr 13 2024

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Last modified August 22 23:25 EDT 2024. Contains 375369 sequences. (Running on oeis4.)