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A167033 a(n) = 20*a(n-1) - 64*a(n-2) + 3 for n > 1; a(0) = 1, a(1) = 22. 5
1, 22, 379, 6175, 99247, 1589743, 25443055, 407117551, 6513995503, 104224386799, 1667592023791, 26681479720687, 426903704891119, 6830459395698415, 109287350800936687, 1748597614694035183, 27977561842620755695 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
lim_{n -> infinity} a(n)/a(n-1) = 16.
LINKS
FORMULA
a(n) = (91*16^n - 35*4^n + 4)/60.
G.f.: (1+x+x^2)/((1-x)*(1-4*x)*(1-16*x)).
From G. C. Greubel, May 30 2016: (Start)
a(n) = 21*a(n-1) - 84*a(n-2) + 64*a(n-3).
E.g.f.: (1/60)*(91*exp(16*x) - 35*exp(4*x) + 4*exp(x)). (End)
MATHEMATICA
LinearRecurrence[{21, -84, 64}, {1, 22, 379}, 50] (* G. C. Greubel, May 30 2016 *)
PROG
(Magma) [ n le 2 select 21*n-20 else 20*Self(n-1)-64*Self(n-2)+3: n in [1..17] ];
CROSSREFS
Sequence in context: A167121 A167122 A132167 * A222886 A264464 A268947
KEYWORD
nonn
AUTHOR
Klaus Brockhaus, Oct 27 2009
STATUS
approved

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Last modified July 22 14:00 EDT 2024. Contains 374499 sequences. (Running on oeis4.)