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A047850 a(n) = (5^n + 3)/4. 7
1, 2, 7, 32, 157, 782, 3907, 19532, 97657, 488282, 2441407, 12207032, 61035157, 305175782, 1525878907, 7629394532, 38146972657, 190734863282, 953674316407, 4768371582032, 23841857910157, 119209289550782, 596046447753907 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

Index entries for linear recurrences with constant coefficients, signature (6,-5).

FORMULA

From Philippe Deléham, Oct 06 2009: (Start)

a(n) = 6*a(n-1) - 5*a(n-2) for n > 1.

G.f.: (1-4x)/((1-x)(1-5x)). (End)

a(n) = 5*a(n-1) - 3 (with a(0)=1). - Vincenzo Librandi, Aug 06 2010

MAPLE

a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=5*a[n-1]+1 od: seq(a[n]+1, n=0..22); # Zerinvary Lajos, Mar 20 2008

PROG

(PARI) a(n)=(5^n+3)/4 \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

a(n) = T(2,n), array T given by A047848.

Sequence in context: A271817 A015655 A320682 * A201373 A168494 A181376

Adjacent sequences:  A047847 A047848 A047849 * A047851 A047852 A047853

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

EXTENSIONS

Better description from Michael Somos

STATUS

approved

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Last modified March 21 01:18 EDT 2019. Contains 321356 sequences. (Running on oeis4.)