A064071 Generalized Euler number c(10,n).

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

Offset: 0

Author

Eric W. Weisstein, Aug 31 2001

Keywords

• nonn
• easy

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.

Crossrefs

Row 10 of A235605.

Programs

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 *)

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