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A090453 Third column (m=4) of array A090452. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 20 12:13 EDT 2019. Contains 327231 sequences. (Running on oeis4.)