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A243085
Number of compositions of n into parts with multiplicity not larger than 7.
4
1, 1, 2, 4, 8, 16, 32, 64, 127, 255, 502, 1004, 1972, 3908, 7660, 15044, 29361, 57209, 110982, 214648, 413552, 793936, 1518344, 2892496, 5500825, 10392649, 19569158, 36845760, 68891188, 128241332, 238736764, 442162796, 814790985, 1499513369, 2750419066
OFFSET
0,3
COMMENTS
Number of compositions of n avoiding the pattern {1}^8.
LINKS
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, 7))))
end:
a:= n-> b(n$2, 0):
seq(a(n), n=0..50);
CROSSREFS
Column k=7 of A243081.
Sequence in context: A251747 A251761 A133024 * A060376 A047869 A270201
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 29 2014
STATUS
approved