A302289 G.f. A(x) satisfies: A(x) = Product_{k>=1} (1 + k*x^k*A(x)).

1, 1, 3, 10, 30, 98, 323, 1083, 3684, 12710, 44272, 155608, 551259, 1965952, 7052990, 25436711, 92168542, 335376653, 1224991077, 4489818110, 16507728007, 60868469848, 225030777305, 833961333273, 3097594423724, 11529400593846, 42996077073284, 160632616725238, 601132116489719, 2253153800577748

Offset

0,3

Links

Table of n, a(n) for n=0..29.

Example

G.f. A(x) = 1 + x + 3*x^2 + 10*x^3 + 30*x^4 + 98*x^5 + 323*x^6 + 1083*x^7 + 3684*x^8 + 12710*x^9 + 44272*x^10 + ...
G.f. A(x) satisfies: A(x) = (1 + x*A(x)) * (1 + 2*x^2*A(x)) * (1 + 3*x^3*A(x)) * (1 + 4*x^4*A(x)) * ...

Crossrefs

Cf. A022629, A145267, A301456, A301577, A301578, A302287, A302288.

Sequence in context: A360714 A290718 A300421 * A003441 A136841 A136846

Adjacent sequences: A302286 A302287 A302288 * A302290 A302291 A302292

Keyword

nonn

Author

Ilya Gutkovskiy, Apr 04 2018

Status

approved