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

0,1

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).

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.

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 *)

Crossrefs

Cf. A055998, A090454.

Sequence in context: A058376 A295906 A120948 * A006885 A220139 A027273

Adjacent sequences: A090450 A090451 A090452 * A090454 A090455 A090456

Keyword

nonn,easy

Author

Wolfdieter Lang, Dec 23 2003

Status

approved