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Search: id:A034474
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| 2, 6, 26, 126, 626, 3126, 15626, 78126, 390626, 1953126, 9765626, 48828126, 244140626, 1220703126, 6103515626, 30517578126, 152587890626, 762939453126, 3814697265626, 19073486328126, 95367431640626, 476837158203126
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Numbers n for which the expression 5^n/(n-1) is an integer. - Paolo P. Lava (ppl(AT)spl.at), May 29 2006
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
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a(n) = 5a(n-1) - 4 = 6a(n-1) - 5a(n-2).
G.f.: 1/(1-x)+1/(1-5x). E.g.f.: e^x+e^(5*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 02 2009]
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MATHEMATICA
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Table[5^n + 1, {n, 0, 25}]
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PROGRAM
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sage: [lucas_number2(n, 6, 5) for n in xrange(0, 25)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 08 2008
(Other) sage: [sigma(5, n)for n in xrange(0, 21)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 04 2009]
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CROSSREFS
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Cf. A000051, A034472, A052539, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600 - A074624.
Sequence in context: A050890 A114710 A092880 this_sequence A123872 A030937 A030827
Adjacent sequences: A034471 A034472 A034473 this_sequence A034475 A034476 A034477
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KEYWORD
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easy,nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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