A372493 G.f. A(x) satisfies A(A(x)) = Sum_{k>=1} k^2 * 2^(k-1) * x^k.

0, 1, 4, 2, 12, -30, 24, 1412, -18716, 127750, -19448, -10721556, 98983992, 546122580, -19718580272, 30721006440, 4638904011364, -44204880124922, -1218793973236472, 26364933421291468, 327900715232299304, -15425392878552410820, -62258050574118828336

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Dmitry Kruchinin, Vladimir Kruchinin, Method for solving an iterative functional equation $A^{2^n}(x)=F(x)$, arXiv:1302.1986 [math.CO], 2013.

Crossrefs

Cf. A014477, A309509.

Sequence in context: A154345 A058095 A105196 * A167557 A069836 A224820

Adjacent sequences: A372490 A372491 A372492 * A372494 A372495 A372496

Keyword

sign

Author

Seiichi Manyama, May 03 2024

Status

approved