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A167549
The sixth row of the ED1 array A167546.
3
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
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
KEYWORD
easy,nonn
AUTHOR
Johannes W. Meijer, Nov 10 2009
STATUS
approved