A319202 a(n) is the A-sequence for the Riordan matrix R = (1/(1- x^2 - x^3), x/(1 - x^2 - x^3)) from A104578.

1, 0, 1, 1, -1, -3, 0, 10, 10, -28, -70, 42, 348, 198, -1353, -2431, 3575, 15587, 702, -74698, -89726, 264214, 753236, -441864, -4308174, -2823020, 18594787, 36373695, -52468405, -249712725, -24858975, 1267523445, 1639209195, -4671244455, -14174703810

Offset: 0

Author

Wolfdieter Lang, Oct 29 2018

Keywords

• sign

Comments

See the comment in A319201, and the recurrence formula for A104578 from the A- and Z-sequences.

The Z-sequence for R is given by a(n+1), n >= 0.

Crossrefs

Cf. A104578, A319201.

Formula

a(n) = [t^n] (1/f(t)), where f(t) = F^{[-1]}(t)/t, with the compositional inverse F^{[-1]}(t) of F(x) = 1/(1 - x^2 - x^3). The expansion of f is given in A319201.