A091026 Fifth column (m=6) of array A090452.
5, 114, 771, 3235, 10365, 27825, 65828, 141552, 282375, 530090, 946275, 1619007, 2671123, 4270245, 6640800, 10078280, 14966001, 21794634, 31184795, 43912995, 60941265, 83450785, 112879860, 150966600, 199796675, 261856530, 340092459
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).
Formula
a(n)= (n+1)*(n+2)*(n^6+45*n^5+745*n^4+5595*n^3+18694*n^2+22440*n+7200)/2880. 2880=8!/(2*7).
G.f.: (5+69*x-75*x^2-20*x^3+60*x^4-30*x^5+5*x^6)/(1-x)^9.