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Search: id:A016125
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| A016125 |
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Expansion of 1/((1-x)(1-12x)). |
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+0
16
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| 1, 13, 157, 1885, 22621, 271453, 3257437, 39089245, 469070941, 5628851293, 67546215517, 810554586205, 9726655034461, 116719860413533, 1400638324962397, 16807659899548765, 201691918794585181
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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(12^(n+1) - 1)/11.
a(n)=12*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)12*1+1=13; n=3, a(3)=12*13+1=157; n=4, a(4)12*157+1=1885 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 29 2009]
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MAPLE
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a:=n->sum(12^(n-j), j=1..n): seq(a(n), n=1..17); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 04 2007
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PROGRAM
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(Other) sage: [lucas_number1(n, 13, 12) for n in xrange(1, 18)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2009]
(Other) sage: [gaussian_binomial(n, 1, 12) for n in xrange(1, 18)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 28 2009]
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CROSSREFS
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Sequence in context: A159499 A125470 A165151 this_sequence A015470 A084328 A000830
Adjacent sequences: A016122 A016123 A016124 this_sequence A016126 A016127 A016128
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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