A365373 - OEIS

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A365373

a(n) = n*(3*n^4 + 15*n^3 + 25*n^2 - 15*n - 28)/60.

0, 0, 7, 40, 136, 356, 791, 1568, 2856, 4872, 7887, 12232, 18304, 26572, 37583, 51968, 70448, 93840, 123063, 159144, 203224, 256564, 320551, 396704, 486680, 592280, 715455, 858312, 1023120, 1212316, 1428511, 1674496, 1953248, 2267936, 2621927, 3018792, 3462312

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..36.

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

FORMULA

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n > 5.

O.g.f.: x^2*(7 - 2*x + x^2)/(1 - x)^6.

E.g.f.: exp(x)*x^2*(210 + 190*x + 45*x^2 + 3*x^3)/60.

MATHEMATICA

a[n_]:= n*(3*n^4 + 15*n^3 + 25*n^2 - 15*n - 28)/60; Array[a, 37, 0]