A385725 E.g.f. A(x) satisfies A(x) = exp( x*(A(x) + A(i*x) + A(-x) + A(-i*x))/4 ), where i is the imaginary unit.

1, 1, 1, 1, 1, 6, 31, 106, 281, 3160, 29701, 176056, 768241, 12702704, 173361371, 1466276176, 8937060081, 195180709248, 3494232292681, 38426220716416, 301057954180801, 8174141246647552, 181144607099402871, 2452803139819922176, 23494461553739152201, 762800754226165963776

Offset

0,6

Links

Table of n, a(n) for n=0..25.

Formula

a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/4)} (4*k+1) * binomial(n-1,4*k) * a(4*k) * a(n-1-4*k).

Crossrefs

Cf. A000272, A058014, A385691.

Cf. A118968.

Sequence in context: A143568 A351935 A356608 * A365301 A337574 A166786

Adjacent sequences: A385722 A385723 A385724 * A385726 A385727 A385728

Keyword

nonn

Author

Seiichi Manyama, Jul 08 2025

Status

approved