A292395 a(n) = A292394(n)/n^2 for n>=1.

1, 1, 7, 135, 5521, 418711, 52505552, 10034306147, 2768027299909, 1055389479690007, 536926409666609040, 354534107755578318094, 297045945287473702734584, 309828094123717787726306772, 395818917891236220205710173248, 610789854576714911900411852031035, 1124694852500570258500087576570621947, 2445082865412664444306698277861664761891

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 A368630

Adjacent sequences: A292392 A292393 A292394 * A292396 A292397 A292398

Keyword

nonn

Author

Paul D. Hanna, Sep 15 2017

Status

approved