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

Author

Johannes W. Meijer, Nov 10 2009

Keywords

• easy
• nonn

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).

Crossrefs

Cf. A167546.

Programs

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 *)

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