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Search: id:A135519
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| A135519 |
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Generalized repunits in base 14. |
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+0
2
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| 1, 15, 211, 2955, 41371, 579195, 8108731, 113522235, 1589311291, 22250358075, 311505013051, 4361070182715, 61054982558011, 854769755812155, 11966776581370171, 167534872139182395, 2345488209948553531
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OFFSET
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1,2
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COMMENT
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Primes are given in A006032.
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FORMULA
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a(n) = (14^n-1)/13
a(n)=14*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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a(4) = 2955 because (14^4-1)/13 = 38416/13 = 2955
For n=2, a(2)=14*1+1=15; n=3, a(3)=14*15+1=211; n=4, a(4)=14*211+1=2955 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 29 2009]
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PROGRAM
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(Other) sage: [gaussian_binomial(n, 1, 14) for n in xrange(1, 15)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 28 2009]
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CROSSREFS
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Cf. A000225, A003462, A002450, A003463, A003464, A023000, A023001, A002452, A016123, A016125.
Sequence in context: A076139 A001880 A113362 this_sequence A051826 A081196 A020287
Adjacent sequences: A135516 A135517 A135518 this_sequence A135520 A135521 A135522
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KEYWORD
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nonn
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AUTHOR
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Julien Peter Benney (jpbenney(AT)gmail.com), Feb 19 2008
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EXTENSIONS
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More terms from Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 29 2009
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