A213436 Principal diagonal of the convolution array A212891.
1, 17, 84, 260, 625, 1281, 2352, 3984, 6345, 9625, 14036, 19812, 27209, 36505, 48000, 62016, 78897, 99009, 122740, 150500, 182721, 219857, 262384, 310800, 365625, 427401, 496692, 574084, 660185, 755625, 861056, 977152, 1104609
Offset: 1
Links
- Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
Programs
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Mathematica
(See A212891.)
Formula
a(n) = (11*n^4 + 6*n^3 - 5*n^2)/12.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).
G.f.: x*(1 + 12*x + 9*x^2)/(1 - x)^5.