A088945 a(n) =60*sum(1<=u<=v<=w<=m,u^2*v^2/w).
0, 60, 690, 3630, 13035, 37059, 89839, 193879, 382834, 704694, 1225368, 2032668, 3240693, 4994613, 7475853, 10907677, 15561172, 21761632, 29895342, 40416762, 53856111, 70827351, 92036571, 118290771, 150507046, 189722170, 237102580
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
Programs
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Mathematica
LinearRecurrence[{7,-21,35,-35,21,-7,1},{0,60,690,3630,13035,37059,89839},30] (* Harvey P. Dale, Mar 20 2024 *)
Formula
n*(200*n^5+1752*n^4+5705*n^3+8370*n^2+5075*n+498)/360. - Vladeta Jovovic, Oct 27 2003
G.f.: -x*(x^5-6*x^4+15*x^3+60*x^2+270*x+60) / (x-1)^7. - Colin Barker, Jun 19 2013
Comments