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A292395 a(n) = A292394(n)/n^2 for n>=1. 2
1, 1, 7, 135, 5521, 418711, 52505552, 10034306147, 2768027299909, 1055389479690007, 536926409666609040, 354534107755578318094, 297045945287473702734584, 309828094123717787726306772, 395818917891236220205710173248, 610789854576714911900411852031035, 1124694852500570258500087576570621947, 2445082865412664444306698277861664761891 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

It is conjectured that this sequence consists entirely of integers.

The g.f. G(x) of A292394 satisfies: [x^n] G( x/G(x)^(n^2) ) = 0 for n>1.

LINKS

Paul D. Hanna, Table of n, a(n) for n = 1..200

PROG

(PARI) {a(n) = my(A=[1, 1]); for(i=2, n, A=concat(A, 0); A[#A] = -Vec(subst(Ser(A), x, x/Ser(A)^((#A-1)^2)))[#A]); A[n+1]/n^2}

for(n=1, 30, print1(a(n), ", "))

CROSSREFS

Cf. A292394.

Sequence in context: A001533 A143181 A183478 * A081793 A296595 A210028

Adjacent sequences:  A292392 A292393 A292394 * A292396 A292397 A292398

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Sep 15 2017

STATUS

approved

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Last modified November 22 03:20 EST 2019. Contains 329383 sequences. (Running on oeis4.)