A090453 Third column (m=4) of array A090452.

2, 16, 51, 118, 230, 402, 651, 996, 1458, 2060, 2827, 3786, 4966, 6398, 8115, 10152, 12546, 15336, 18563, 22270, 26502, 31306, 36731, 42828, 49650, 57252, 65691, 75026, 85318, 96630, 109027, 122576, 137346, 153408, 170835, 189702, 210086

Offset: 0

Author

Wolfdieter Lang, Dec 23 2003

Keywords

• nonn
• easy

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1).

Crossrefs

Cf. A055998, A090454.

Programs

Mathematica

Table[(n+1)(n^3+15n^2+56n+24)/12,{n,0,40}] (* or *) LinearRecurrence[{5,-10,10,-5,1},{2,16,51,118,230},40] (* Harvey P. Dale, Dec 07 2014 *)

Formula

a(n)= (n+1)*(n^3+15*n^2+56*n+24)/12.

G.f.: (2+6*x-9*x^2+3*x^3)/(1-x)^5.