A323119 Number of compositions of n where the difference between largest and smallest parts equals two.

0, 0, 2, 3, 12, 20, 49, 95, 188, 366, 714, 1347, 2565, 4851, 9121, 17082, 31960, 59637, 111065, 206485, 383411, 711109, 1317528, 2438838, 4510987, 8338099, 15403007, 28439107, 52483921, 96819153, 178542957, 329146111, 606618210, 1117730709, 2059048379

Offset: 2

Author

Alois P. Heinz, Jan 05 2019

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 2..3779

Crossrefs

Column k=2 of A214258.

Formula

a(n) ~ c * d^n, where d = A058265 = 1.8392867552141611325518525646532866... is the real root of the equation d^3 - d^2 - d - 1 = 0 and c = 0.618419922319392550945330438071061626105588310617942936855358363357952137... is the real root of the equation 44*c^3 - 44*c^2 + 12*c - 1 = 0. - Vaclav Kotesovec, Jan 07 2019