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A327678 Number of colored compositions of 2n using all colors of an n-set such that all parts have different color patterns and the patterns for parts i are sorted and have i colors (in arbitrary order). 2
1, 1, 60, 7512, 1546042, 541742985, 267920998650, 180675370176420, 160654598650809964, 178879511446386682365, 243695196628845859469020, 400544315906804782687318938, 777083567062772102871149374020, 1755895011129198763056241198051342 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..100

FORMULA

a(n) = A327673(2n,n).

MAPLE

b:= proc(n, i, k, p) option remember;

     `if`(n=0, p!, `if`(i<1, 0, add(binomial(k^i, j)*

      b(n-i*j, min(n-i*j, i-1), k, p+j)/j!, j=0..n/i)))

    end:

a:= n-> add(b(2*n$2, i, 0)*(-1)^(n-i)*binomial(n, i), i=0..n):

seq(a(n), n=0..15);

CROSSREFS

Cf. A327673.

Sequence in context: A178785 A091753 A303790 * A130214 A295815 A146498

Adjacent sequences:  A327675 A327676 A327677 * A327679 A327680 A327681

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 21 2019

STATUS

approved

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Last modified February 25 21:55 EST 2020. Contains 332264 sequences. (Running on oeis4.)