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A243084 Number of compositions of n into parts with multiplicity not larger than 6. 4
1, 1, 2, 4, 8, 16, 32, 63, 127, 247, 494, 960, 1892, 3672, 7147, 13798, 26581, 50929, 97196, 184578, 348856, 659351, 1232960, 2297710, 4293741, 7938967, 14597060, 26899716, 49245147, 89549454, 162797168, 294737328, 530981823, 953222139, 1708323110, 3043849193 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of compositions of n avoiding the pattern {1}^7.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

MAPLE

b:= proc(n, i, p) option remember; `if`(n=0, p!, `if`(i<1, 0,

      add(b(n-i*j, i-1, p+j)/j!, j=0..min(n/i, 6))))

    end:

a:= n-> b(n$2, 0):

seq(a(n), n=0..50);

CROSSREFS

Column k=6 of A243081.

Sequence in context: A251748 A251762 A140134 * A049886 A128901 A025489

Adjacent sequences:  A243081 A243082 A243083 * A243085 A243086 A243087

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified August 13 22:57 EDT 2020. Contains 336473 sequences. (Running on oeis4.)