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Search: id:A069238
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| A069238 |
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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. |
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+0
3
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| 2, 1, 2, 10, 700, 700, 9800, 3185000, 85358000, 1484210000, 4904900000, 213514756000, 10932576200000, 651421552600000, 491216647558000000, 59347135259594000000, 308654469531044000000, 582291574342534420000000, 3395537788696824680000000
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OFFSET
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1,1
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REFERENCES
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E. Dintzl, Ueber 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.
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FORMULA
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For n >= 2, G_n = A069182(n-1)*(2*n)/(2^(2*n-1)*(-1+(-2)^n)).
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EXAMPLE
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G_1, G_2, ... = 2/3, 1/3, 2/3, 10/3, 700/33, 700/3, 9800/3, 3185000/51, ...
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CROSSREFS
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Cf. A069239, A069182, A069240.
Sequence in context: A086382 A062345 A077098 this_sequence A165313 A052579 A153908
Adjacent sequences: A069235 A069236 A069237 this_sequence A069239 A069240 A069241
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 13 2002
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