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A047788
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Numerators of Glaisher's I-numbers.
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4
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1, 1, 1, 7, 809, 1847, 55601, 6921461, 126235201, 8806171927, 2288629046003, 80348736972167, 10111159088668001, 40453941942593304589, 258227002122139705201, 51215766794507248883047, 34747165199239302488636803, 2962605017328303351107945687
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| J. W. L. Glaisher, On a set of coefficients analogous to the Eulerian numbers, Proc. London Math. Soc., 31 (1899), 216-235.
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LINKS
| Index entries for sequences related to Glaisher's numbers
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FORMULA
| E.g.f. for (-1)^n*I(n) is (3/2)/(1+exp(x)+exp(-x)).
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EXAMPLE
| 1/2, 1/3, 1, 7, 809/9, 1847, 55601, 6921461/3,...
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PROG
| (PARI) a(n)=if(n<1, (n==0), n*=2; numerator(n!*polcoeff(3/(2+4*cos(x+O(x^n))), n))) - Michael Somos Feb 26 2004
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CROSSREFS
| Cf. A047789, A002111.
Sequence in context: A171245 A014013 A001467 * A203694 A087350 A193342
Adjacent sequences: A047785 A047786 A047787 * A047789 A047790 A047791
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KEYWORD
| nonn,frac
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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