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

Author

Alois P. Heinz, Jan 05 2019

Keywords

• nonn

Links

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

Crossrefs

Column k=3 of A214258.

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