A394877 G.f. A(x) satisfies A(x) = -1 / (1 + x - x * d/dx log(1 - x*A(x))).

-1, 0, 1, 2, 4, 10, 33, 146, 842, 5992, 50098, 476340, 5047686, 58827278, 746815505, 10250802290, 151206256714, 2384664894112, 40033684232894, 712700669301436, 13409556869869392, 265860175114367700, 5539443903559970138, 121007065247029884404, 2765304524332357628932

Offset

0,4

Links

Seiichi Manyama, Table of n, a(n) for n = 0..451

Formula

a(0) = -1, a(1) = 0; a(n) = (n-1)/2 * a(n-1) - a(n-2) - ((n-1)/2 * b(n-1) - b(n-2)), where b(n) = Sum_{k=1..n} a(k)*a(n-k).

Crossrefs

Cf. A075834, A394878, A394879, A394880, A394881.

Sequence in context: A173489 A089476 A323207 * A327424 A220028 A006397

Adjacent sequences: A394874 A394875 A394876 * A394878 A394879 A394880

Keyword

sign

Author

Seiichi Manyama, Apr 05 2026

Status

approved