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A026040 a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3). 4
24, 40, 64, 98, 144, 204, 280, 374, 488, 624, 784, 970, 1184, 1428, 1704, 2014, 2360, 2744, 3168, 3634, 4144, 4700, 5304, 5958, 6664, 7424, 8240, 9114, 10048, 11044, 12104, 13230, 14424, 15688, 17024, 18434, 19920, 21484, 23128, 24854, 26664 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 4..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = n(n^2 - 3n + 14)/3 (n >= 4). - Emeric Deutsch, Nov 27 2006

G.f.: x^4*(24 - 56*x + 48*x^2 - 14*x^3)/(1 - x)^4. - Colin Barker, Sep 17 2012

MAPLE

a:=n->n*(n^2-3*n+14)/3: seq(a(n), n=4..50); # Emeric Deutsch, Nov 27 2006

MATHEMATICA

Table[Range[n].RotateLeft[Range[n], 3], {n, 4, 52}] (* T. D. Noe, Nov 07 2006 *)

CoefficientList[Series[(24 - 56 x + 48 x^2 - 14 x^3)/(1 - x)^4, {x, 0, 50}], x] (* Vincenzo Librandi, Oct 17 2013 *)

PROG

(MAGMA) [n*(n^2-3*n+14)/3: n in [4..50]]; // Vincenzo Librandi, Oct 17 2013

CROSSREFS

Column 3 of triangle A094414.

Sequence in context: A269452 A294029 A195562 * A259217 A211567 A316271

Adjacent sequences:  A026037 A026038 A026039 * A026041 A026042 A026043

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

EXTENSIONS

Corrected by T. D. Noe, Nov 07 2006

STATUS

approved

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Last modified June 20 00:16 EDT 2021. Contains 345154 sequences. (Running on oeis4.)