A242508 Number of compositions of n, where the difference between the number of odd parts and the number of even parts is 10.

1, 0, 10, 12, 55, 144, 311, 936, 1989, 4928, 11557, 25340, 59025, 128576, 283100, 620976, 1327258, 2862528, 6080645, 12845064, 27102284, 56625624, 118144679, 245331648, 507035957, 1045854240, 2148159266, 4400962876, 8993987459, 18326508928, 37269909849

Offset

10,3

Comments

With offset 20 number of compositions of n, where the difference between the number of odd parts and the number of even parts is -10.

Links

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

Formula

Recurrence (for n>=14): (n-10)*(n+20)*(2*n+3)*(2*n+5)*(n^4 + 10*n^3 + 35*n^2 + 50*n - 9976)*a(n) = -400*(n-11)*(n+2)*(n+19)*(2*n+3)*(2*n+7)*a(n-1) + 2*(2*n + 5)*(2*n^7 + 41*n^6 + 500*n^5 + 2585*n^4 - 16152*n^3 - 177396*n^2 - 1963520*n - 4094400)*a(n-2) + 2*(n+2)*(2*n+3)*(2*n+7)*(2*n^5 + 31*n^4 + 183*n^3 + 709*n^2 - 18145*n - 33100)*a(n-3) - (n-4)*(n+6)*(2*n+5)*(2*n+7)*(n^4 + 14*n^3 + 71*n^2 + 154*n - 9880)*a(n-4). - Vaclav Kotesovec, May 20 2014

Crossrefs

Column k=10 of A242498.

Sequence in context: A349160 A248481 A266700 * A367149 A363285 A219917

Adjacent sequences: A242505 A242506 A242507 * A242509 A242510 A242511

Keyword

nonn

Author

Alois P. Heinz, May 16 2014

Status

approved