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A243082 Number of compositions of n into parts with multiplicity not larger than 4. 4
1, 1, 2, 4, 8, 15, 31, 57, 114, 213, 410, 766, 1437, 2659, 4888, 9130, 16406, 29477, 54084, 96353, 170015, 303356, 536877, 932679, 1637383, 2831910, 4919306, 8395627, 14550779, 24673403, 41942730, 70587716, 120128827, 201556909, 336844168, 558644630, 932732821 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of compositions of n avoiding the pattern 11111.

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, 4))))

    end:

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

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

CROSSREFS

Column k=4 of A243081.

Sequence in context: A052325 A302774 A300520 * A092603 A298533 A259805

Adjacent sequences:  A243079 A243080 A243081 * A243083 A243084 A243085

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified May 24 10:38 EDT 2022. Contains 354033 sequences. (Running on oeis4.)