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Search: id:A100616
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| A100616 |
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Let B(n)(x) be the Bernoulli polynomials as defined in A001898, with B(n)(1) equal to the usual Bernoulli numbers A027641/A027642. Sequence gives denominators of B(n)(2). |
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+0
4
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| 1, 1, 6, 2, 10, 6, 42, 6, 30, 10, 22, 6, 2730, 210, 6, 2, 34, 30, 798, 42, 330, 110, 46, 6, 2730, 546, 6, 2, 290, 30, 14322, 462, 510, 170, 2, 6, 54834, 51870, 6, 2, 4510, 330, 1806, 42, 690, 46, 94, 6, 46410, 6630, 66, 22, 530, 30, 798, 798, 174, 290, 118, 6, 56786730
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OFFSET
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0,3
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REFERENCES
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F. N. David, Probability Theory for Statistical Methods, Cambridge, 1949; see pp. 103-104. [There is an error in the recurrence for B_s^{(r)}.]
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FORMULA
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E.g.f.: (x/(exp(x)-1))^2. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 27 2006
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EXAMPLE
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1, -1, 5/6, -1/2, 1/10, 1/6, -5/42, -1/6, 7/30, 3/10, -15/22, -5/6, 7601/2730, 691/210, -91/6, -35/2, 3617/34, 3617/30, -745739/798, -43867/42, ... = A100615/A100616.
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CROSSREFS
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Cf. A001898, A027641, A027642, A100615.
Adjacent sequences: A100613 A100614 A100615 this_sequence A100617 A100618 A100619
Sequence in context: A018801 A055021 A141379 this_sequence A097474 A040035 A065272
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KEYWORD
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nonn,frac
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AUTHOR
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njas, Dec 03 2004
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