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A243125 Number of compositions of n in which the maximal multiplicity of parts equals 8. 2
1, 0, 9, 9, 54, 99, 309, 684, 1720, 3918, 9081, 20343, 45261, 99063, 214719, 460428, 965980, 2040096, 4255851, 8706522, 17810088, 36275538, 73017027, 145692324, 289702678, 573412764, 1124242476, 2191850439, 4259718588, 8229423030, 15785908575, 30199934205 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..1000

FORMULA

a(n) = A243086(n) - A243085(n) = A243081(n,8) - A243081(n,7).

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, 8) -b(n$2, 0, 7):

seq(a(n), n=8..50);

CROSSREFS

Column k=8 of A242447.

Sequence in context: A014718 A145971 A241868 * A270008 A255743 A183893

Adjacent sequences:  A243122 A243123 A243124 * A243126 A243127 A243128

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified August 11 04:03 EDT 2020. Contains 336421 sequences. (Running on oeis4.)