A094674 - OEIS

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

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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, 0, 3;

-6, 0, -15;

1, 0, 45, 0, 105;