A242503 Number of compositions of n, where the difference between the number of odd parts and the number of even parts is 5.

1, 0, 5, 7, 15, 49, 71, 196, 394, 753, 1746, 3285, 6865, 14124, 27445, 56661, 111892, 222222, 446524, 876876, 1744353, 3448783, 6782633, 13411528, 26346074, 51799306, 101840098, 199601828, 391637976, 767247094, 1501758784, 2939789022, 5747749147, 11235696151

Offset

5,3

Comments

With offset 10 number of compositions of n, where the difference between the number of odd parts and the number of even parts is -5.

Links

Alois P. Heinz, Table of n, a(n) for n = 5..1000

Formula

Recurrence (for n>=9): (n-5)*(n-1)*n*(n+10)*(16*n^4 - 40*n^2 - 9991)*a(n) = -800*(n-6)*(n-1)*(n+1)*(n+9)*(2*n-1)*a(n-1) + 2*n*(16*n^7 + 48*n^6 + 280*n^5 - 1920*n^4 - 11691*n^3 - 5023*n^2 - 167795*n + 7975)*a(n-2) + 2*(n-1)*(n+1)*(2*n-1)*(16*n^5 + 48*n^4 - 16*n^3 + 292*n^2 - 9645*n + 7200)*a(n-3) - (n-4)*n*(n+1)^2*(16*n^4 + 64*n^3 + 56*n^2 - 16*n - 10015)*a(n-4). - Vaclav Kotesovec, May 20 2014

Crossrefs

Column k=5 of A242498.

Sequence in context: A283592 A067589 A059613 * A116048 A120282 A132094

Adjacent sequences: A242500 A242501 A242502 * A242504 A242505 A242506

Keyword

nonn

Author

Alois P. Heinz, May 16 2014

Status

approved