A094674 Coefficients of polynomial in x multiplying sinh(x) in the modified spherical Bessel function of the first kind i_n(x).

1, -1, 1, 0, 3, -6, 0, -15, 1, 0, 45, 0, 105, -15, 0, -420, 0, -945, 1, 0, 210, 0, 4725, 0, 10395, -28, 0, -3150, 0, -62370, 0, -135135, 1, 0, 630, 0, 51975, 0, 945945, 0, 2027025, -45, 0, -13860, 0, -945945, 0, -16216200, 0, -34459425, 1, 0, 1485, 0, 315315, 0, 18918900, 0

Offset

0,5

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;
   -1;
    1, 0,   3;
   -6, 0,  -15;
    1, 0,   45, 0,  105;
  -15, 0, -420, 0, -945;
  ...

Crossrefs

Cf. A094675.

Sequence in context: A070297 A284896 A299032 * A125287 A264813 A009014

Adjacent sequences: A094671 A094672 A094673 * A094675 A094676 A094677

Keyword

sign,tabf

Author

Eric W. Weisstein, May 19 2004

Extensions

Keyword tabf from Michel Marcus, May 06 2020

Status

approved