A167549 The sixth row of the ED1 array A167546.

120, 1440, 6720, 21504, 55296, 122880, 245640, 452880, 783144, 1285536, 2021040, 3063840, 4502640, 6441984, 9003576, 12327600, 16574040, 21924000, 28581024, 36772416, 46750560, 58794240, 73209960, 90333264, 110530056

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 (6, -15, 20, -15, 6, -1).

Formula

a(n) = 11*n^5 + 0*n^4 + 209*n^3 - 264*n^2 + 308*n - 144.

G.f.: (120+720*z-120*z^2+384*z^3+72*z^4+144*z^5)/(1-z)^6.

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6). - G. C. Greubel, Jun 15 2016

Mathematica

Table[11*n^5 + 209*n^3 - 264*n^2 + 308*n - 144, {n, 1, 100}] (* or *) Linearrecurrence[{6, -15, 20, -15, 6, -1}, {120, 1440, 6720, 21504, 55296, 122880}, 100] (* G. C. Greubel, Jun 15 2016 *)

Crossrefs

Cf. A167546.

Sequence in context: A259519 A235231 A348216 * A052776 A052770 A175112

Adjacent sequences: A167546 A167547 A167548 * A167550 A167551 A167552

Keyword

easy,nonn

Author

Johannes W. Meijer, Nov 10 2009

Status

approved