A214274 Number of compositions of n where the difference between largest and smallest parts equals 5 and adjacent parts are unequal.

0, 2, 1, 8, 12, 23, 56, 95, 186, 349, 649, 1181, 2168, 3932, 7045, 12741, 22716, 40528, 72086, 127802, 226191, 399378, 704011, 1238513, 2176306, 3817950, 6689530, 11707266, 20465195, 35738757, 62350777, 108682236, 189279785, 329390352, 572788101, 995343179

Offset: 6

Author

Alois P. Heinz, Jul 09 2012

Keywords

• nonn

Examples

			a(7) = 2: [6,1], [1,6].
a(8) = 1: [1,6,1].
a(9) = 8: [7,2], [6,2,1], [6,1,2], [2,7], [2,6,1], [2,1,6], [1,6,2], [1,2,6].
a(10) = 12: [6,3,1], [6,1,3], [6,1,2,1], [3,6,1], [3,1,6], [2,1,6,1], [1,6,3], [1,6,2,1], [1,6,1,2], [1,3,6], [1,2,6,1], [1,2,1,6].
		

Links

• Alois P. Heinz and Vaclav Kotesovec, Table of n, a(n) for n = 6..2000 (first 250 terms from Alois P. Heinz)

Crossrefs

Column k=5 of A214269.

Formula

a(n) ~ c * d^n, where d = 1.70794647064333012330..., c = 0.5176707727128993957... . - Vaclav Kotesovec, Sep 01 2014