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Search: id:A000965
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| A000965 |
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Numerators of expansion of sinh x / sin x.
(Formerly M1307 N0501)
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+0
2
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| 1, 2, 4, 104, 272, 3104, 79808, 631936, 1708288, 7045156352, 1413417032704, 6587672324096, 37378439704576, 66465881481076736, 80812831866241024, 17004045797823707643904, 55131841948562370265088, 189924798793194975920128
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
J. M. Gandhi, The coefficients of cosh x / cos x and a note on Carlitz's coefficients of sinh x / sin x, Math. Mag., 31 (1958), 185-191.
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FORMULA
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Numerator of (2n)!/(2n+1) times coefficient of x^(2n) in sinh x / sin x.
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EXAMPLE
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1+1/3*x^2+1/18*x^4+13/1890*x^6+17/22680*x^8+...
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CROSSREFS
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Cf. A006656.
Sequence in context: A166094 A018440 A104050 this_sequence A018449 A156506 A018455
Adjacent sequences: A000962 A000963 A000964 this_sequence A000966 A000967 A000968
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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