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.

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, 3, 177, 33, 3, 51, 201, 3, 33, 4161, 3, 3, 3, 23001, 249, 129, 3, 267, 627, 3, 3, 4947, 3, 33, 3, 3, 321, 57, 33, 5763, 3, 177, 3, 1353, 3, 3, 2451, 51, 4323, 201

Offset

1,1

References

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.

Links

Table of n, a(n) for n=1..66.

Formula

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

Example

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

Crossrefs

Cf. A069238, A069182, A069240.

Sequence in context: A278667 A232984 A098535 * A321080 A357261 A010265

Adjacent sequences: A069236 A069237 A069238 * A069240 A069241 A069242

Keyword

nonn,frac

Author

N. J. A. Sloane, Apr 13 2002

Extensions

More terms from Sean A. Irvine, Apr 13 2024

Status

approved