A394879 G.f. A(x) satisfies A(x) = -1 / (1 + x - x^2 + x^3 - x * d/dx log(1 - x*A(x))).

-1, 0, 0, 0, 1, 4, 19, 111, 760, 5976, 53062, 524919, 5723493, 68181821, 880916799, 12267980944, 183181681783, 2919228642272, 49452334100912, 887356817041401, 16812532278748455, 335401627901612613, 7027324571812426900, 154279299692901768147, 3541671282222287112486

Offset

0,6

Links

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

Formula

a(0) = -1, a(1) = a(2) = a(3) = 0; a(n) = (n-1)/2 * a(n-1) - a(n-4) - ((n-1)/2 * b(n-1) - b(n-2) + b(n-3) - b(n-4)), where b(n) = Sum_{k=1..n} a(k)*a(n-k).

Crossrefs

Cf. A075834, A394877, A394878, A394880, A394881.

Sequence in context: A396095 A060905 A304473 * A174123 A127548 A331326

Adjacent sequences: A394876 A394877 A394878 * A394880 A394881 A394882

Keyword

sign

Author

Seiichi Manyama, Apr 05 2026

Status

approved