A128091 Row sums of unsigned A128090.

1, 8, 45, 160, 425, 936, 1813, 3200, 5265, 8200, 12221, 17568, 24505, 33320, 44325, 57856, 74273, 93960, 117325, 144800, 176841, 213928, 256565, 305280, 360625, 423176, 493533, 572320, 660185, 757800, 865861, 985088, 1116225, 1260040, 1417325

Offset: 1

Author

Gary W. Adamson, Feb 14 2007

Keywords

• nonn
• easy

Examples

			a(4) = 160 = sum of row 4 terms of A128090: (48 + 48 + 48 + 16) = 3*A045991(4) + 4^2; where A045991 = (0, 0, 4, 18, 48, 100, ...).
		

Links

• Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1).

Crossrefs

Cf. A000290, A002522, A128077, A128090, A045991.

Programs

PARI

a(n)=n^2*(n^2 - 2*n + 2) \\ Charles R Greathouse IV, Oct 21 2022

Formula

a(n) = (n-1)*A045991(n) + n^2.

a(n) = n^2*(n^2 - 2*n + 2) = A000290(n)*A002522(n-1). - Philippe Deléham, Mar 16 2014

G.f.: x*(1 + 3*x + 15*x^2 + 5*x^3)/(1-x)^5. - Philippe Deléham, Mar 16 2014

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5), a(1) = 1, a(2) = 8, a(3) = 45, a(4) = 160, a(5) = 425. - Philippe Deléham, Mar 16 2014

Extensions

a(10)-a(35) from Philippe Deléham, Mar 16 2014