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0, 1, 9, 61, 369, 2101, 11529, 61741, 325089, 1690981, 8717049, 44633821, 227363409, 1153594261, 5835080169, 29443836301, 148292923329, 745759583941, 3745977788889, 18798608421181, 94267920012849
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| X. Acloque, Polynexus Numbers and other mathematical wonders [broken link]
Index entries for sequences related to linear recurrences with constant coefficients, signature (9,-20).
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FORMULA
| a(n) = 5*a(n-1) + 4^(n-1). - Xavier Acloque Oct 20 2003
G.f.: 1/(1-5*x)-1/(1-4*x). E.g.f.: e^(5*x)-e^(4*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 14 2009]
a(0)=0, a(1)=1, a(n)=9*a(n-1)-20*a(n-2). [From Vincenzo Librandi, Jan 28 2011]
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MAPLE
| a:=n->sum(4^(n-j)*binomial(n, j), j=1..n): seq(a(n), n=0..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 04 2007
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MATHEMATICA
| f[n_]:=5^n-4^n; f[Range[0, 60]] (*From Vladimir Joseph Stephan Orlovsky, Jan 27 2011*)
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PROG
| (Other) sage: [lucas_number1(n, 9, 20) for n in xrange(0, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 23 2009]
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CROSSREFS
| Sequence in context: A202660 A202120 A201084 * A125346 A190666 A016200
Adjacent sequences: A005057 A005058 A005059 * A005061 A005062 A005063
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KEYWORD
| nonn,easy,changed
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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