A047690 -id:A047690 - cp's OEIS frontend

A047689 Numerators of coefficients in Taylor series for exp(cos(x)-1).

1, -1, 1, -31, 379, -1639, 150349, -4373461, 39074491, -6698486371, 30708135509, -4934550701809, 1319703681935929, -99896787342523081, 2121075416425574701, -72929243565543262421, 83877585692383961052499, -2410048463569672917849859

Offset: 0

N. J. A. Sloane

			1 - (1/2)*x^2 + (1/6)*x^4 - (31/720)*x^6 + (379/40320)*x^8 - (1639/907200)*x^10 + ...

CRC Standard Mathematical Tables and Formulae, 30th ed. 1996, p. 42.

Cf. A047690, A005046.

A097322 (2n)! divided by denominator of Taylor expansion of exp(cos(x)-1).

Original entry on oeis.org

1, 4, 1, 1, 4, 1, 1, 4, 1, 11, 4, 1, 1, 4, 11, 1, 4, 31, 1, 44, 29, 1, 4, 1, 11, 4, 29, 1, 4, 11, 1, 4, 31, 1, 1276, 1, 41, 4, 1, 11, 116, 1, 1, 292, 11, 1, 4, 31, 127571, 44, 1, 1, 4, 1, 319, 4, 41, 1, 4, 11, 1, 4, 899, 1, 44, 1, 1, 4, 29, 11, 4, 1, 1, 4, 583, 1, 4756, 361429

Offset: 1

Ralf Stephan, Aug 08 2004

Equals A010050(n) / A047690(n).

Cf. A005046.

a(n)=(2*n)!/denominator(polcoeff(Ser(exp(cos(x)-1)),2*n))

cp's OEIS Frontend

A047689 Numerators of coefficients in Taylor series for exp(cos(x)-1).

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A097322 (2n)! divided by denominator of Taylor expansion of exp(cos(x)-1).

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