A143060 A007318 * [1, 15, 65, 90, 31, 1, 0, 0, 0, ...].

1, 16, 96, 331, 842, 1782, 3337, 5727, 9207, 14068, 20638, 29283, 40408, 54458, 71919, 93319, 119229, 150264, 187084, 230395, 280950, 339550, 407045, 484335, 572371, 672156, 784746, 911251, 1052836, 1210722

Offset: 1

Author

Gary W. Adamson, Jul 20 2008

Keywords

• nonn
• easy

Examples

			a(3) = 96 = (1, 2, 1) dot (1, 15, 65) = (1 + 30 + 65).
		

Links

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

Crossrefs

Cf. A143058, A143059, A008278.

Formula

Binomial transform of [1, 15, 65, 90, 31, 1, 0, 0, 0, ...] where (1, 15, 65 90, 31, 1) = row 6 of triangle A008278.

G.f.: x*(1+10*x+15*x^2-25*x^3-9*x^4+9*x^5)/(1-x)^6. - Colin Barker, Feb 01 2012