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A167548 The fifth row of the ED1 array A167546 3
24, 240, 960, 2688, 6144, 12264, 22200, 37320, 59208, 89664, 130704, 184560, 253680, 340728, 448584, 580344, 739320, 929040, 1153248, 1415904, 1721184, 2073480, 2477400, 2937768, 3459624, 4048224, 4709040, 5447760, 6270288 (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) = 9*n^4 - 6*n^3 + 63*n^2 - 66*n + 24.

G.f.: (24+120*z+0*z^2+48*z^3+24*z^4)/(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 15 2016

MATHEMATICA

Table[9*n^4 - 6*n^3 + 63*n^2 - 66*n + 24, {n, 1, 100}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {24, 240, 960, 2688, 6144}, 100] (* G. C. Greubel, Jun 15 2016 *)

CROSSREFS

Cf. A167546.

Sequence in context: A006863 A052663 A192491 * A192849 A253285 A052796

Adjacent sequences:  A167545 A167546 A167547 * A167549 A167550 A167551

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer, Nov 10 2009

STATUS

approved

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Last modified January 20 05:37 EST 2020. Contains 331067 sequences. (Running on oeis4.)