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Search: id:A046978
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| A046978 |
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Numerators of Taylor series for exp(x)*sin(x). |
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+0
2
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| 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 0, -1, -1, -1, 0
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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G. W. Caunt, Infinitesimal Calculus, Oxford Univ. Press, 1914, p. 477.
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FORMULA
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Euler transform of length 8 sequence [ 1, 0, -1, -1, 0, 0, 0, 1]. - Michael Somos Jul 16 2006
G.f.: x(1+x+x^2)/(1+x^4) = x(1-x^3)(1-x^4)/((1-x)(1-x^8)) . a(-n) = a(n+4) = -a(n) . - Michael Somos Jul 16 2006
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EXAMPLE
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1*x+1*x^2+1/3*x^3-1/30*x^5-1/90*x^6-1/630*x^7+1/22680*x^9+1/113400*x^10+...
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PROGRAM
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(PARI) a(n)=(n%4>0)*(-1)^(n\4) /* Michael Somos Jul 16 2006 */
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CROSSREFS
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Cf. A046979.
Sequence in context: A140318 A060584 A098725 this_sequence A075553 A131729 A115517
Adjacent sequences: A046975 A046976 A046977 this_sequence A046979 A046980 A046981
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KEYWORD
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sign,frac,easy,nice
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AUTHOR
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njas
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