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Search: id:A047850
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| 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; listen)
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OFFSET
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0,2
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FORMULA
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a(0)= 1, a(1)= 2, a(n)= 6*a(n-1)-5*a(n-2) for n>1. G.f.: (1-4x)/(1-6x+5x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 06 2009]
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EXAMPLE
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a(n)=5*a(n-1)-3 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 31 2009]
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MAPLE
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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 (zerinvarylajos(AT)yahoo.com), Mar 20 2008
For n=2, a(2)=5*1-3=2; n=3, a(3)=5*2-3=7; n=4, a(4)=5*7-3=32 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 31 2009]
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CROSSREFS
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a(n)=T(2, n), array T given by A047848.
Sequence in context: A158940 A102161 A015655 this_sequence A108524 A006781 A115197
Adjacent sequences: A047847 A047848 A047849 this_sequence A047851 A047852 A047853
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KEYWORD
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nonn,new
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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Better description from Michael Somos.
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