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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 August 13 22:57 EDT 2020. Contains 336473 sequences. (Running on oeis4.)