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A091619

Number of compositions (ordered partitions) of n such that some part is repeated consecutively 5 times and no part is repeated consecutively more than 5 times.

1, 0, 2, 4, 9, 21, 46, 98, 213, 459, 979, 2082, 4408, 9294, 19535, 40937, 85561, 178392, 371131, 770556, 1596936, 3303986, 6825163, 14078718, 29002331, 59670920, 122627798, 251735331, 516247636, 1057687986, 2165046327, 4428017780, 9049083763, 18478717262

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OFFSET

5,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 5..1000

MAPLE

b:= proc(n, l, k) option remember; `if`(n=0, 1, add(`if`(

i=l, 0, add(b(n-i*j, i, k), j=1..min(k, n/i))), i=1..n))

end:

a:= n-> b(n, 0, 5) -b(n, 0, 4):

seq(a(n), n=5..50); # Alois P. Heinz, Feb 08 2017

MATHEMATICA