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A016224
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Expansion of 1/((1-x)(1-4x)(1-8x)).
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0
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1, 13, 125, 1085, 9021, 73533, 593725, 4771645, 38260541, 306433853, 2452868925, 19628543805, 157050720061, 1256495238973, 10052319825725, 80419990261565, 643365648715581, 5146948096216893, 41175676395704125
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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..18.
Index entries for linear recurrences with constant coefficients, signature (13, -44, 32).
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FORMULA
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a(n) = (1/21) - (4/3)*4^n + (16/7)*8^n. - Antonio Alberto Olivares, Feb 07 2010
a(0)=1, a(1)=13, a(n) = 12*a(n-1) - 32*a(n-2) + 1. - Vincenzo Librandi, Feb 10 2011
a(0)=1, a(1)=13, a(2)=125, a(n) = 13*a(n-1) - 44*a(n-2) + 32*a(n-3). - Harvey P. Dale, Aug 16 2012
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MATHEMATICA
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CoefficientList[Series[1/((1-x)(1-4x)(1-8x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{13, -44, 32}, {1, 13, 125}, 20] (* Harvey P. Dale, Aug 16 2012 *)
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CROSSREFS
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Sequence in context: A316923 A317041 A317695 * A278173 A142673 A179550
Adjacent sequences: A016221 A016222 A016223 * A016225 A016226 A016227
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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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