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A016218
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Expansion of 1/((1-x)*(1-4*x)*(1-5*x)).
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7
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1, 10, 71, 440, 2541, 14070, 75811, 400900, 2091881, 10808930, 55442751, 282806160, 1436400421, 7271480590, 36715316891, 185008240220, 930767824161, 4676745613050, 23475354034231, 117743274047080, 590182385739101, 2956775990710310, 14807336201610771
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (10,-29,20).
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FORMULA
| a(n) = a(n-1)+5^(n+1)-4^(n+1), n>=1. - Vincenzo Librandi, Feb 10 2011
a(n) = 9*a(n-1)-20*a(n-2)+1, n>=2. - Vincenzo Librandi, Feb 10 2011
a(n) = 1/12 -4^(n+2)/3 +5^(n+2)/4. - R. J. Mathar, Mar 15 2011
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MAPLE
| a:=n->sum(5^(n-j)-4^(n-j), j=0..n): seq(a(n), n=1..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 04 2007
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MATHEMATICA
| Table[(-4^(n + 2) + 3*5^(n + 1) + 1)/12, {n, 40}] (* and *) CoefficientList[Series[1/((1 - z) (1 - 4*z) (1 - 5*z)), {z, 0, 40}], z] (* From Vladimir Joseph Stephan Orlovsky, Jul 21 2011 *)
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CROSSREFS
| Cf. A016208, A000392, A000225, A003462, A003463, A003464, A023000, A023001, A002452, A002275, A016123, A016125, A016256.
Sequence in context: A038779 A172499 A136856 * A026772 A016098 A129275
Adjacent sequences: A016215 A016216 A016217 * A016219 A016220 A016221
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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