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A047854 a(n)=T(6,n), array T given by A047848. 5
1, 2, 11, 92, 821, 7382, 66431, 597872, 5380841, 48427562, 435848051, 3922632452, 35303692061, 317733228542, 2859599056871, 25736391511832, 231627523606481, 2084647712458322 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

FORMULA

(9^n + 7)/8. - Ralf Stephan, Feb 14 2004

a(0)= 1, a(1)= 2, a(n)= 10*a(n-1)-9*a(n-2) for n>1. G.f.: (1-8x)/(1-10x+9x^2). [From Philippe Deléham, Oct 06 2009]

a(n)=9*a(n-1)-7 (with a(0)=1) [From Vincenzo Librandi, Aug 06 2010]

EXAMPLE

For n=1, a(1)=9*1-7=2; n=2, a(2)=9*2-7=11; n=3, a(3)=9*11-7=92 [From Vincenzo Librandi, Aug 06 2010]

MAPLE

a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=9*a[n-1]+1 od: seq(a[n]+1, n=0..17); - Zerinvary Lajos, Mar 20 2008

MATHEMATICA

a = {}; ZZ = 1; Do[ZZ = ZZ + 3^(2x); AppendTo[a, ZZ], {x, 0, 17}]; a - Zerinvary Lajos, Apr 03 2007

CROSSREFS

n-th difference of a(n), a(n-1), ..., a(0) is 8^(n-1) for n=1, 2, 3, ...

Sequence in context: A266656 A094955 A143870 * A222080 A122708 A225623

Adjacent sequences:  A047851 A047852 A047853 * A047855 A047856 A047857

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified May 23 12:45 EDT 2017. Contains 286915 sequences.