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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.)