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A047852 a(n) = T(4,n), array T given by A047848. 4
1, 2, 9, 58, 401, 2802, 19609, 137258, 960801, 6725602, 47079209, 329554458, 2306881201, 16148168402, 113037178809, 791260251658, 5538821761601, 38771752331202, 271402266318409, 1899815864228858 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..19.

FORMULA

a(n) = (7^n + 5)/6. - Ralf Stephan, Feb 14 2004

From Philippe Deléham, Oct 06 2009: (Start)

a(0) = 1, a(1) = 2, a(n) = 8*a(n-1) - 7*a(n-2) for n > 1.

G.f.: (1 - 6*x)/(1 - 8*x + 7*x^2). (End)

a(n) = 7*a(n-1) - 5, 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]:=7*a[n-1]+1 od: seq(a[n]+1, n=0..19); # Zerinvary Lajos, Mar 20 2008

CROSSREFS

n-th difference of a(n), a(n-1), ..., a(0) is 6^(n-1) for n=1, 2, 3, ...

Sequence in context: A124405 A300343 A141787 * A240881 A224127 A116867

Adjacent sequences:  A047849 A047850 A047851 * A047853 A047854 A047855

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified May 21 00:36 EDT 2022. Contains 353886 sequences. (Running on oeis4.)