A302288 - OEIS

A302288

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

1, 1, 4, 14, 55, 217, 908, 3864, 16894, 75078, 338862, 1548055, 7147427, 33294790, 156305144, 738753341, 3512431392, 16788169689, 80619590577, 388785776751, 1882063496033, 9142361671588, 44550166132194, 217716111661799, 1066792279046783, 5239947708977474, 25795965431819883

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..26.

EXAMPLE

G.f. A(x) = 1 + x + 4*x^2 + 14*x^3 + 55*x^4 + 217*x^5 + 908*x^6 + 3864*x^7 + 16894*x^8 + 75078*x^9 + 338862*x^10 + ...

G.f. A(x) satisfies: A(x) = 1/((1 - x*A(x)) * (1 - 2*x^2*A(x)) * (1 - 3*x^3*A(x)) * (1 - 4*x^4*A(x)) * ...).

CROSSREFS

Cf. A006906, A145268, A298261, A301577, A302171, A302289.

Sequence in context: A162481 A280208 A088655 * A149490 A304977 A143406

Adjacent sequences: A302285 A302286 A302287 * A302289 A302290 A302291

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 04 2018

STATUS

approved