OFFSET
4,3
COMMENTS
With offset 8 number of compositions of n, where the difference between the number of odd parts and the number of even parts is -4.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 4..1000
FORMULA
Recurrence (for n>=8): (n-4)*(n+8)*(2*n-3)*(2*n-1)*(n^4 - 2*n^3 - n^2 + 2*n - 256)*a(n) = -64*(n-5)*(n-1)*(n+7)*(2*n-3)*(2*n+1)*a(n-1) + 2*(2*n-1)*(2*n^7 - n^6 + 14*n^5 - 199*n^4 - 288*n^3 + 600*n^2 - 5360*n + 2928)*a(n-2) + 2*(n-1)*(2*n-3)*(2*n+1)*(2*n^5 + n^4 - 9*n^3 + 28*n^2 - 508*n + 608)*a(n-3) - (n-4)*n*(2*n-1)*(2*n+1)*(n^4 + 2*n^3 - n^2 - 2*n - 256)*a(n-4). - Vaclav Kotesovec, May 20 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 16 2014
STATUS
approved