A064071 Generalized Euler number c(10,n).

2, 158, 79042, 96448478, 218987626882, 798807132800798, 4273446686680147522, 31521738825258026305118, 306606728264687314446344962, 3802448636519829800140388609438

Offset

0,1

Links

Matthew House, Table of n, a(n) for n = 0..171

Eric Weisstein's World of Mathematics, Euler Number.

Daniel Shanks, Generalized Euler and class numbers, Mathematics of Computation, Vol. 21, No. 100 (1967), pp. 689-694; Corrigenda, ibid., Vol. 22, No. 103 (1968), p. 699.

Formula

a(n) = (2*n)!*[x^(2*n)](sec(10*x)*(cos(x) + cos(3*x) - cos(7*x) + cos(9*x))). - Matthew House, Oct 27 2024

Mathematica

Range[0, 18, 2]! CoefficientList[Series[Sec[10 x] (Cos[x] + Cos[3 x] - Cos[7 x] + Cos[9 x]), {x, 0, 18}], x^2] (* Matthew House, Oct 27 2024 *)

Crossrefs

Row 10 of A235605.

Sequence in context: A233263 A124225 A159030 * A116638 A326488 A170992

Adjacent sequences: A064068 A064069 A064070 * A064072 A064073 A064074

Keyword

nonn,easy

Author

Eric W. Weisstein, Aug 31 2001

Status

approved