A143059 A007318 * [1, 10, 25, 15, 1, 0, 0, 0, ...].

1, 11, 46, 121, 252, 456, 751, 1156, 1691, 2377, 3236, 4291, 5566, 7086, 8877, 10966, 13381, 16151, 19306, 22877, 26896, 31396, 36411, 41976, 48127, 54901, 62336, 70471, 79346, 89002, 99481

Offset: 0

Author

Gary W. Adamson, Jul 20 2008

Keywords

• nonn
• easy

Examples

			a(4) = 121 = (1, 3, 3, 1) dot (1, 10, 25, 15) = (1 + 30 + 75 + 15).
		

Links

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

Crossrefs

Cf. A008278, A143058.

Programs

Mathematica

LinearRecurrence[{5,-10,10,-5,1},{1,11,46,121,252},40] (* Harvey P. Dale, May 08 2020 *)

Formula

Binomial transform of [1, 10, 25, 15, 1, 0, 0, 0, ...] where (1, 10, 25, 15, 1) = row 5 of triangle A008278.

G.f. ( -1-6*x-x^2+9*x^3-2*x^4 ) / (x-1)^5 . - R. J. Mathar, Apr 04 2012