A323120 Number of compositions of n where the difference between largest and smallest parts equals three.

0, 0, 2, 3, 12, 23, 58, 123, 266, 557, 1168, 2400, 4911, 9982, 20196, 40643, 81499, 162899, 324678, 645404, 1280042, 2533565, 5005449, 9872464, 19442206, 38234945, 75096856, 147324049, 288705896, 565201569, 1105475313, 2160338661, 4218403428, 8230986025

Offset

3,3

Links

Alois P. Heinz, Table of n, a(n) for n = 3..3509

Formula

a(n) ~ c * d^n, where d = A086088 = 1.92756197548292530426190586173662216869855... is the real root of the equation d^4 - d^3 - d^2 - d - 1 = 0 and c = 0.566342887702651534849280952809003081138499070062015666102331676335... is the real root of the equation 563*c^4 - 563*c^3 + 174*c^2 - 22*c + 1 = 0. - Vaclav Kotesovec, Jan 07 2019

Crossrefs

Column k=3 of A214258.

Sequence in context: A282234 A024780 A295366 * A323121 A323122 A323123

Adjacent sequences: A323117 A323118 A323119 * A323121 A323122 A323123

Keyword

nonn

Author

Alois P. Heinz, Jan 05 2019

Status

approved