OFFSET
7,3
COMMENTS
With offset 14 number of compositions of n, where the difference between the number of odd parts and the number of even parts is -7.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 7..1000
FORMULA
Recurrence (for n>=11): (n-7)*n*(n+1)*(n+14)*(16*n^4 + 64*n^3 + 56*n^2 - 16*n - 38431)*a(n) = -1568*(n-8)*n*(n+2)*(n+13)*(2*n+1)*a(n-1) + 2*(n+1)*(16*n^7 + 160*n^6 + 1192*n^5 + 472*n^4 - 49083*n^3 - 168912*n^2 - 1534048*n - 1379196)*a(n-2) + 2*n*(n+2)*(2*n+1)*(16*n^5 + 128*n^4 + 336*n^3 + 1076*n^2 - 36101*n - 8729)*a(n-3) - (n-4)*(n+1)*(n+2)*(n+3)*(16*n^4 + 128*n^3 + 344*n^2 + 352*n - 38311)*a(n-4). - Vaclav Kotesovec, May 20 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 16 2014
STATUS
approved