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A243127 Number of compositions of n in which the maximal multiplicity of parts equals 10. 2
1, 0, 11, 11, 77, 143, 495, 1133, 3058, 7271, 17777, 41591, 96767, 220473, 496661, 1103619, 2425929, 5276623, 11370986, 24294028, 51316156, 108047687, 225688551, 466237332, 960231624, 1967794950, 3997987950, 8077762209, 16258984885, 32550495175, 64759902032 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..1000

FORMULA

a(n) = A243088(n) - A243087(n) = A243081(n,10) - A243081(n,9).

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, 10) -b(n$2, 0, 9):

seq(a(n), n=10..50);

CROSSREFS

Column k=10 of A242447.

Sequence in context: A014461 A111221 A241870 * A088761 A215256 A265526

Adjacent sequences:  A243124 A243125 A243126 * A243128 A243129 A243130

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 29 2014

STATUS

approved

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Last modified July 12 21:31 EDT 2020. Contains 335669 sequences. (Running on oeis4.)