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A229806 G.f.: Sum_{n>=1} a(n)*x^n / (1 + n*x)^(n^2) = x. 0
1, 1, 7, 150, 6924, 569726, 74358042, 14229990742, 3774315375580, 1330122245198910, 602741550311798067, 342138788139339603446, 238146938124253555981224, 199695655908033678248780110, 198741234873020798204357773510, 231773141251670398730627959107510 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Compare to identity: Sum_{n>=1} n^(n-2) * x^n / (1 + n*x)^n = x.

LINKS

Table of n, a(n) for n=1..16.

EXAMPLE

G.f.: x = 1*x/(1+x) + 1*x^2/(1+2*x)^4 + 7*x^3/(1+3*x)^9 + 150*x^4/(1+4*x)^16 + 6924*x^5/(1+5*x)^25 + 569726*x^6/(1+6*x)^36 +...

PROG

(PARI) {a(n)=polcoeff(x-sum(k=1, n-1, a(k)*x^k/(1+k*x+x*O(x^n))^(k^2)), n)}

for(n=1, 20, print1(a(n), ", "))

CROSSREFS

Cf. A177447, A082157.

Sequence in context: A152552 A308581 A305467 * A229880 A070248 A329010

Adjacent sequences:  A229803 A229804 A229805 * A229807 A229808 A229809

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 02 2013

STATUS

approved

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Last modified September 20 12:05 EDT 2021. Contains 347586 sequences. (Running on oeis4.)