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A243120 Number of compositions of n in which the maximal multiplicity of parts equals 3. 2
1, 0, 4, 5, 18, 34, 59, 132, 272, 519, 966, 1746, 3487, 5986, 10570, 19701, 34444, 59250, 101155, 180588, 302788, 515205, 841042, 1449392, 2420163, 3959442, 6472636, 10656987, 17332640, 28234296, 45337971, 72306544, 117761744, 185704091, 295918788, 466574348 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 3..1000

FORMULA

a(n) = A232464(n) - A232432(n) = A243081(n,3) - A243081(n,2).

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, 3) -b(n$2, 0, 2):

seq(a(n), n=3..50);

CROSSREFS

Column k=3 of A242447.

Sequence in context: A243297 A026902 A026755 * A317378 A338866 A308485

Adjacent sequences:  A243117 A243118 A243119 * A243121 A243122 A243123

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified January 26 19:15 EST 2022. Contains 350599 sequences. (Running on oeis4.)