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A167562 The fifth row of the ED2 array A167560. 3
120, 480, 1344, 3072, 6144, 11160, 18840, 30024, 45672, 66864, 94800, 130800, 176304, 232872, 302184, 386040, 486360, 605184, 744672, 907104, 1094880, 1310520, 1556664, 1836072, 2151624, 2506320, 2903280, 3345744, 3837072 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

a(n) = 5*n^4 + 10*n^3 + 67*n^2 + 14*n + 24.

G.f.: (24*z^4 - 48*z^3 + 144*z^2 - 120*z + 120)/(1-z)^5.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). - G. C. Greubel, Jun 16 2016

MATHEMATICA

Table[5*n^4 + 10*n^3 + 67*n^2 + 14*n + 24, {n, 1, 100}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {120, 480, 1344, 3072, 6144}, 100] (* G. C. Greubel, Jun 16 2016 *)

CROSSREFS

Equals the fifth row of the ED2 array A167560.

Sequence in context: A235239 A235232 A304284 * A033697 A157960 A067915

Adjacent sequences:  A167559 A167560 A167561 * A167563 A167564 A167565

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer, Nov 10 2009

STATUS

approved

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Last modified September 22 03:54 EDT 2020. Contains 337289 sequences. (Running on oeis4.)