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Search: id:A083067
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| 1, 6, 41, 286, 2001, 14006, 98041, 686286, 4804001, 33628006, 235396041, 1647772286, 11534406001, 80740842006, 565185894041, 3956301258286, 27694108808001, 193858761656006, 1357011331592041, 9499079321144286
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A052934 - Paul Barry (pbarry(AT)wit.ie), Apr 30 2003
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FORMULA
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a(n)=(5*7^n+1)/6 G.f. (1-2x)/((1-7x)(1-x)) E.g.f. (5*exp(7x)+exp(x))/6
a(n)=7*a(n-1)-1 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 29 2009]
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EXAMPLE
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For n=2, a(2)=7*1-1=6; n=3, a(3)=7*6-1=41; n=4, a(4)=7*41-1=286 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 29 2009]
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CROSSREFS
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Cf. A083066, A083068.
Sequence in context: A015551 A049685 A122371 this_sequence A000402 A152107 A143023
Adjacent sequences: A083064 A083065 A083066 this_sequence A083068 A083069 A083070
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KEYWORD
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easy,nonn,new
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 21 2003
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