A094675 Coefficients of polynomial in x multiplying cosh(x) in the modified spherical Bessel function of the first kind i_n(x).

1, 0, -3, 0, 1, 0, 15, 0, -10, 0, -105, 0, 1, 0, 105, 0, 945, 0, -21, 0, -1260, 0, -10395, 0, 1, 0, 378, 0, 17325, 0, 135135, 0, -36, 0, -6930, 0, -270270, 0, -2027025, 0, 1, 0, 990, 0, 135135, 0, 4729725, 0, 34459425, 0, -55, 0, -25740, 0, -2837835, 0, -91891800, 0

Offset

0,3

Links

Table of n, a(n) for n=0..57.

Example

Sinh(x)/x, (x*cosh(x) - sinh(x))/x^2, (-3*x*cosh(x) + (3 + x^2)*sinh(x))/x^3, ...
Triangle begins:
    1, 0;
   -3, 0;
    1, 0,   15, 0;
  -10, 0, -105, 0;
    1, 0,  105, 0, 945, 0;
  ...

Crossrefs

Cf. A094674.

Sequence in context: A185951 A188832 A279514 * A307808 A200472 A391073

Adjacent sequences: A094672 A094673 A094674 * A094676 A094677 A094678

Keyword

sign,tabf

Author

Eric W. Weisstein, May 19 2004

Extensions

Keyword tabf from Michel Marcus, May 06 2020

Status

approved