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 A243121 Number of compositions of n in which the maximal multiplicity of parts equals 4. 2
 1, 0, 5, 5, 21, 40, 100, 210, 396, 870, 1790, 3510, 6681, 13100, 25320, 47835, 87126, 166195, 299375, 542595, 991036, 1775935, 3145270, 5487805, 9852046, 17092310, 29561070, 50696690, 88015196, 150446590, 256066280, 428469220, 727919426, 1224816005, 2043828145 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 4..1000 FORMULA a(n) = A243082(n) - A232464(n) = A243081(n,4) - A243081(n,3). MAPLE b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0, add(b(n-i*j, i-1, p+j, k)/j!, j=0..min(n/i, k)))) end: a:= n-> b(n\$2, 0, 4) -b(n\$2, 0, 3): seq(a(n), n=4..50); CROSSREFS Column k=4 of A242447. Sequence in context: A283046 A147254 A241864 * A007028 A318960 A097336 Adjacent sequences: A243118 A243119 A243120 * A243122 A243123 A243124 KEYWORD nonn AUTHOR Alois P. Heinz, May 29 2014 STATUS approved

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Last modified May 31 19:41 EDT 2023. Contains 363068 sequences. (Running on oeis4.)