A301577 - OEIS

A301577

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

1, 1, 4, 16, 75, 366, 1887, 10010, 54493, 302302, 1703599, 9723774, 56101292, 326640411, 1916800425, 11325242328, 67316128903, 402245682741, 2414978550718, 14560379165160, 88122911824659, 535188028077586, 3260549998701951, 19921639754064470, 122041156818328779

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..24.

EXAMPLE

G.f. A(x) = 1 + x + 4*x^2 + 16*x^3 + 75*x^4 + 366*x^5 + 1887*x^6 + 10010*x^7 + 54493*x^8 + 302302*x^9 + ...

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

log(A(x)) = x + 7*x^2/2 + 37*x^3/3 + 219*x^4/4 + 1276*x^5/5 + 7687*x^6/6 + 46551*x^7/7 + 285043*x^8/8 + ... + A297329(n)*x^n/n + ...

CROSSREFS

Cf. A006906, A109085, A297329, A301455, A301578.

Sequence in context: A306495 A331159 A101205 * A324171 A204772 A050540

Adjacent sequences: A301574 A301575 A301576 * A301578 A301579 A301580

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Mar 23 2018

STATUS

approved