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A016159
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Expansion of 1/((1-4x)(1-12x)).
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0
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1, 16, 208, 2560, 30976, 372736, 4476928, 53739520, 644939776, 7739539456, 92875522048, 1114510458880, 13374142283776, 160489774514176, 1925877562605568, 23110531825008640, 277326386195070976
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..16.
Index to sequences with linear recurrences with constant coefficients, signature (16,-48).
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FORMULA
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a(n) = 2^(2*n-1)*(3^(n+1)-1). - Bruno Berselli, Feb 09 2011
a(n) = 12*a(n-1)+4^n with a(0)=1. - Vincenzo Librandi, Feb 09 2011
a(0)=1, a(1)=16, a(n)=16*a(n-1)-48*a(n-2) [From Harvey P. Dale, Nov 30 2011]
a(n) = 2^(2n-3)*(3^n-1) [From Harvey P. Dale, Nov 30 2011]
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MATHEMATICA
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Join[{a=1, b=16}, Table[c=16*b-48*a; a=b; b=c, {n, 40}]] (*From Vladimir Joseph Stephan Orlovsky, Feb 08 2011*)
CoefficientList[Series[1/((1-4x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{16, -48}, {1, 16}, 20] (* From Harvey P. Dale, Nov 30 2011 *)
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CROSSREFS
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Sequence in context: A055758 A046088 A186853 * A222447 A059385 A009440
Adjacent sequences: A016156 A016157 A016158 * A016160 A016161 A016162
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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