A305537 G.f. A(x) satisfies: A(x) = 1/(1 - x*A(x) - x*A(x)/(1 - x*A(x) - 2*x*A(x)/(1 - x*A(x) - 3*x*A(x)/(1 - x*A(x) - 4*x*A(x)/(1 - ...))))), a continued fraction.

1, 2, 11, 87, 844, 9438, 118217, 1636078, 24869591, 414422424, 7568815758, 151468591827, 3317061005044, 79265498450882, 2058189152006115, 57777549430984983, 1744191365957251044, 56332730020388347302, 1937412176139535240463, 70659708678402399722656

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for sequences related to Bessel functions or polynomials

Formula

a(n) = [x^n] (Sum_{k>=0} A001515(k)*x^k)^(n+1)/(n + 1).

Example

G.f. A(x) = 1 + 2*x + 11*x^2 + 87*x^3 + 844*x^4 + 9438*x^5 + 118217*x^6 + 1636078*x^7 + 24869591*x^8 + ...

Crossrefs

Cf. A001515, A027307, A301363.

Sequence in context: A153304 A240998 A331876 * A036076 A372842 A047797

Adjacent sequences: A305534 A305535 A305536 * A305538 A305539 A305540

Keyword

nonn

Author

Ilya Gutkovskiy, Jun 04 2018

Status

approved