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Search: id:A046977
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| A046977 |
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Denominators of Taylor series for sec(x). Also denominators of Taylor series for sech(x) = 1/cosh(x). |
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+0
3
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| 1, 2, 24, 720, 8064, 3628800, 95800320, 87178291200, 4184557977600, 6402373705728000, 97316080327065600, 1124000727777607680000, 9545360026665222144000, 403291461126605635584000000, 3209350995912777478963200000, 265252859812191058636308480000000
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OFFSET
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0,2
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REFERENCES
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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
Eric Weisstein's World of Mathematics, Secant
Eric Weisstein's World of Mathematics, Hyperbolic Secant
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EXAMPLE
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sec(x) = 1 + 1/2*x^2 + 5/24*x^4 + 61/720*x^6 + 277/8064*x^8 + 50521/3628800*x^10 + ...
sech(x) = 1 - 1/2 *x^2 + 5/24 *x^4 - 61/720 *x^6 + 277/8064 *x^8 - ...
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CROSSREFS
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A046976(n)/a(n)= A000364(n)/(2n)!.
Sequence in context: A030438 A012723 A069150 this_sequence A119699 A093459 A010050
Adjacent sequences: A046974 A046975 A046976 this_sequence A046978 A046979 A046980
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KEYWORD
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nonn,frac,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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