A242504 - OEIS

A242504

Number of compositions of n, where the difference between the number of odd parts and the number of even parts is 6.

1, 0, 6, 8, 21, 64, 101, 288, 576, 1180, 2727, 5280, 11363, 23496, 46981, 98176, 196482, 397644, 806351, 1606488, 3234335, 6456048, 12849330, 25637632, 50835950, 100883304, 199903578, 395067760, 781029504, 1540973568, 3037666097, 5984978112, 11775884581

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OFFSET

6,3

COMMENTS

With offset 12 number of compositions of n, where the difference between the number of odd parts and the number of even parts is -6.

LINKS

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

FORMULA

Recurrence (for n>=10): (n-6)*(n+12)*(2*n-1)*(2*n+1)*(n^4 + 2*n^3 - n^2 - 2*n - 1296)*a(n) = -144*(n-7)*n*(n+11)*(2*n-1)*(2*n+3)*a(n-1) + 2*(2*n+1)*(2*n^7 + 13*n^6 + 80*n^5 - 179*n^4 - 3424*n^3 - 6476*n^2 - 69072*n - 31104)*a(n-2) + 2*n*(2*n-1)*(2*n+3)*(2*n^5 + 11*n^4 + 15*n^3 + 67*n^2 - 2465*n + 642)*a(n-3) - (n-4)*(n+2)*(2*n+1)*(2*n+3)*(n^4 + 6*n^3 + 11*n^2 + 6*n - 1296)*a(n-4). - Vaclav Kotesovec, May 20 2014

CROSSREFS

Column k=6 of A242498.

Sequence in context: A064840 A306379 A243932 * A267023 A084962 A365649

Adjacent sequences: A242501 A242502 A242503 * A242505 A242506 A242507

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 16 2014

STATUS

approved