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A163274 a(n) = n^4*(n+1)^2/2. 6
0, 2, 72, 648, 3200, 11250, 31752, 76832, 165888, 328050, 605000, 1054152, 1752192, 2798978, 4321800, 6480000, 9469952, 13530402, 18948168, 26064200, 35280000, 47064402, 61960712, 80594208, 103680000, 132031250, 166567752, 208324872 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums of triangle A163284.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).

FORMULA

a(n)=7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)-7*a(n-6)+a(n-7). G.f.: -2*x*(1+29*x+93*x^2+53*x^3+4*x^4)/(x-1)^7 . - R. J. Mathar, Jul 29 2009

MATHEMATICA

Table[(n^4 (n+1)^2)/2, {n, 0, 30}] (* or *) LinearRecurrence[ {7, -21, 35, -35, 21, -7, 1}, {0, 2, 72, 648, 3200, 11250, 31752}, 30] (* Harvey P. Dale, May 07 2012 *)

PROG

(PARI) a(n)=n^4*(n+1)^2/2 \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

Cf. A006002, A099903, A163102, A163275, A163276, A163277, A163284.

Sequence in context: A053318 A272757 A187707 * A030993 A283568 A070775

Adjacent sequences:  A163271 A163272 A163273 * A163275 A163276 A163277

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol, Jul 24 2009

EXTENSIONS

More terms from R. J. Mathar, Jul 29 2009

STATUS

approved

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Last modified July 14 15:26 EDT 2020. Contains 335729 sequences. (Running on oeis4.)