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A243083 Number of compositions of n into parts with multiplicity not larger than 5. 4
1, 1, 2, 4, 8, 16, 31, 63, 120, 240, 459, 897, 1716, 3294, 6258, 11852, 22283, 41647, 78197, 144013, 264485, 489979, 892277, 1612753, 2933983, 5288025, 9454944, 16891074, 30121434, 53179092, 93997401, 164816943, 289313718, 502617530, 877419533, 1514746093 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of compositions of n avoiding the pattern 111111.

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, 5))))

    end:

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

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

CROSSREFS

Column k=5 of A243081.

Sequence in context: A018487 A251749 A251763 * A239561 A010747 A318776

Adjacent sequences:  A243080 A243081 A243082 * A243084 A243085 A243086

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified May 23 18:08 EDT 2022. Contains 353993 sequences. (Running on oeis4.)