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A190988 a(n) = 10*a(n-1) - 6*a(n-2), with a(0)=0, a(1)=1. 1
0, 1, 10, 94, 880, 8236, 77080, 721384, 6751360, 63185296, 591344800, 5534336224, 51795293440, 484746917056, 4536697409920, 42458492596864, 397364741509120, 3718896459510016, 34804776146045440, 325734382703394304, 3048515170157670400, 28530745405356338176 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (10,-6).

FORMULA

a(n) = (1/38)*sqrt(19)*((5+sqrt(19))^n - (5-sqrt(19))^n). - Paolo P. Lava, May 31 2011

G.f.: x/(1-10x+6*x^2). - Philippe Deléham, Oct 12 2011

MATHEMATICA

LinearRecurrence[{10, -6}, {0, 1}, 50]

CROSSREFS

Cf. A190958 (index to generalized Fibonacci sequences).

Sequence in context: A281203 A126633 A125422 * A287830 A259289 A163738

Adjacent sequences:  A190985 A190986 A190987 * A190989 A190990 A190991

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, May 24 2011

STATUS

approved

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Last modified May 16 20:11 EDT 2022. Contains 353720 sequences. (Running on oeis4.)