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A028214
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Expansion of 1/((1-6x)(1-8x)(1-10x)(1-12x)).
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1
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1, 36, 820, 15120, 246736, 3721536, 53174080, 730794240, 9758653696, 127501710336, 1638112752640, 20771546664960, 260668843872256, 3244288806567936, 40111449573376000, 493276560759521280, 6039827824481468416, 73691981266726158336, 896516001844367196160
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 22*a(n-1) - 120*a(n-2) + 2^n*(4^(n+1) - 3^(n+1)), n>=2. - Vincenzo Librandi, Mar 14 2011
a(n) = 36*a(n-1) - 476*a(n-2) + 2736*a(n-3) - 5760*a(n-4). - Vincenzo Librandi, Mar 14 2011
a(n) = -125*10^n/2 -9*6^n/2 +4*8^(n+1)+3*12^(n+1). - R. J. Mathar, Mar 15 2011
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MAPLE
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MATHEMATICA
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CoefficientList[Series[1/((1 - 6 x) (1 - 8 x) (1 - 10 x) (1 - 12 x)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Oct 23 2014 *)
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PROG
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(Magma) [-125*10^n/2 -9*6^n/2 +4*8^(n+1)+3*12^(n+1) : n in [0..20]]; // Wesley Ivan Hurt, Oct 23 2014
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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