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A243123 Number of compositions of n in which the maximal multiplicity of parts equals 6. 2
1, 0, 7, 7, 35, 63, 176, 378, 889, 1946, 4298, 9282, 18999, 40565, 84371, 169372, 340683, 684957, 1359758, 2650942, 5142116, 10008642, 19123713, 36370362, 68799767, 129920385, 241668105, 450604609, 830903577, 1529103100, 2800280316, 5100363926, 9233845628 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..1000

FORMULA

a(n) = A243084(n) - A243083(n) = A243081(n,6) - A243081(n,5).

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, 6) -b(n$2, 0, 5):

seq(a(n), n=6..50);

CROSSREFS

Column k=6 of A242447.

Sequence in context: A290683 A121210 A241866 * A154702 A112685 A201958

Adjacent sequences:  A243120 A243121 A243122 * A243124 A243125 A243126

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified January 19 17:45 EST 2019. Contains 319309 sequences. (Running on oeis4.)