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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
OFFSET
3,3
LINKS
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: A026902 A026755 A368029 * A317378 A338866 A308485
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 29 2014
STATUS
approved