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Search: id:A036281
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| A036281 |
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Denominators in Taylor series for cosec x. |
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+0
2
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| 1, 6, 360, 15120, 604800, 3421440, 653837184000, 37362124800, 762187345920000, 2554547108585472000, 401428831349145600000, 143888775912161280000, 846912068365871834726400000, 93067260259985915904000000, 2706661834818276108533760000000
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, December 1972, p. 75 (4.3.68).
G. W. Caunt, Infinitesimal Calculus, Oxford Univ. Press, 1914, p. 477.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, December 1972, p. 75 (4.3.68).
Index entries for Bernoulli numbers B(2n)
Eric Weisstein's World of Mathematics, Hyperbolic Cosecant
Eric Weisstein's World of Mathematics, Cosecant
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FORMULA
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A036280(n)/a(n)= 2 *(2^(2n-1) -1) *abs(B(2n)) / (2n)!
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EXAMPLE
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x^(-1)+1/6*x+7/360*x^3+31/15120*x^5+...
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MAPLE
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series(csc(x), x, 60);
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CROSSREFS
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Cf. A036280, also A036282, A036283, B(2n)= A027641(2n) / A027642(2n).
Sequence in context: A000409 A059415 A002684 this_sequence A064350 A069945 A086205
Adjacent sequences: A036278 A036279 A036280 this_sequence A036282 A036283 A036284
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KEYWORD
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nonn,frac,easy
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AUTHOR
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njas
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