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A323119
Number of compositions of n where the difference between largest and smallest parts equals two.
2
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
2,3
LINKS
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
CROSSREFS
Column k=2 of A214258.
Sequence in context: A355847 A374647 A130089 * A307035 A319404 A126292
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jan 05 2019
STATUS
approved