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A047853 a(n) = T(5,n), array T given by A047848. 8
1, 2, 10, 74, 586, 4682, 37450, 299594, 2396746, 19173962, 153391690, 1227133514, 9817068106, 78536544842, 628292358730, 5026338869834, 40210710958666, 321685687669322, 2573485501354570, 20587884010836554, 164703072086692426, 1317624576693539402, 10540996613548315210 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
n-th difference of a(n), a(n-1), ..., a(0) is 7^(n-1) for n = 1, 2, 3, ...
LINKS
FORMULA
a(n) = (8^n + 6)/7. - Ralf Stephan, Feb 14 2004
From Philippe Deléham, Oct 05 2009: (Start)
a(0)=1, a(1)=2; a(n) = 9*a(n-1) - 8*a(n-2) for n>1.
G.f.: (1 - 7*x)/(1 - 9*x + 8*x^2). (End)
a(n) = 8*a(n-1) - 6 for n>0, a(0)=1. - Vincenzo Librandi, Aug 06 2010
a(n+1) = A226308(3*n). - Philippe Deléham, Feb 24 2014
E.g.f.: exp(x)*(6 + exp(7*x))/7. - Stefano Spezia, Oct 16 2023
MAPLE
a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=8*a[n-1]+1 od: seq(a[n]+1, n=0..18); # Zerinvary Lajos, Mar 20 2008
MATHEMATICA
LinearRecurrence[{9, -8}, {1, 2}, 30] (* Harvey P. Dale, Dec 11 2016 *)
CROSSREFS
Sequence in context: A088189 A228609 A001395 * A151387 A349310 A192259
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Vladimir Joseph Stephan Orlovsky, Nov 07 2008
STATUS
approved

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Last modified March 29 10:22 EDT 2024. Contains 371268 sequences. (Running on oeis4.)