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A016241
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Expansion of 1/((1-x)*(1-6*x)*(1-7*x)).
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1
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1, 14, 141, 1246, 10277, 81270, 624877, 4710062, 34985973, 256995046, 1871524733, 13536029598, 97364345989, 697223254742, 4974599780109, 35386420442254, 251090274984725, 1777943916226758, 12567479361589405, 88703587219138430, 625312500662044581
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(0)=1, a(1)=14, a(n)=13*a(n-1)-42*a(n-2)+1. - Vincenzo Librandi, Feb 10 2011
a(0)=1, a(1)=14, a(2)=141, a(n)=14*a(n-1)-55*a(n-2)+42*a(n-3) [From Harvey P. Dale, Aug 05 2011]
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MAPLE
| a:=n->sum(7^(n-j)-6^(n-j), j=0..n): seq(a(n), n=1..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 15 2007
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MATHEMATICA
| Table[(-6^(n + 2) + 5*7^(n + 1) + 1)/30, {n, 40}] (* and *) CoefficientList[Series[1/((1 - z) (1 - 6*z) (1 - 7*z)), {z, 0, 40}], z] (* From Vladimir Joseph Stephan Orlovsky, Jul 21 2011 *)
LinearRecurrence[{14, -55, 42}, {1, 14, 141}, 40] (* From Harvey P. Dale, Aug 05 2011 *)
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CROSSREFS
| Cf. A016218, A016228, A016249.
Sequence in context: A125402 A016290 A003457 * A131583 A011547 A011548
Adjacent sequences: A016238 A016239 A016240 * A016242 A016243 A016244
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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