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A057651
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(3 * 5^n - 1)/2.
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19
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1, 7, 37, 187, 937, 4687, 23437, 117187, 585937, 2929687, 14648437, 73242187, 366210937, 1831054687, 9155273437, 45776367187, 228881835937, 1144409179687, 5722045898437, 28610229492187, 143051147460937, 715255737304687, 3576278686523437, 17881393432617187
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (6,-5).
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FORMULA
| G.f.: (1+x)/(1-6*x+5*x^2).
a(0)=1, a(n) = 5*a(n-1) + 2; a(n) = a(n-1)+ 6*{5^(n-1)}. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 27 2001
a(n) = 6*a(n-1)-5*a(n-2), n>1. - Vincenzo Librandi, Oct 30 2011
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MAPLE
| G.f=x*(1+x)/(1-5*x)/(1-x): gser:=series(g, x=0, 43): seq(coeff(gser, x, n), n=1..30); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 11 2009]
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MATHEMATICA
| Table[(3*5^n-1)/2, {n, 0, 30}] (* From Vladimir Joseph Stephan Orlovsky, Jan 29 2012 *)
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PROG
| (MAGMA) [(3*5^n-1)/2: n in [0..30]]; // Vincenzo Librandi, Oct 30 2011
(PARI) a(n)=3*5^n\2 \\ Charles R Greathouse IV, Dec 22 2011
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CROSSREFS
| Cf. A024049, A081655.
Sequence in context: A192811 A037546 A140476 * A106925 A085640 A196805
Adjacent sequences: A057648 A057649 A057650 * A057652 A057653 A057654
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Oct 13 2000
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