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A034491 7^n + 1. +0
40
2, 8, 50, 344, 2402, 16808, 117650, 823544, 5764802, 40353608, 282475250, 1977326744, 13841287202, 96889010408, 678223072850, 4747561509944, 33232930569602, 232630513987208, 1628413597910450, 11398895185373144 (list; graph; listen)
OFFSET

0,1

COMMENT

Numbers n for which the expression 7^n/(n-1) is an integer. - Paolo P. Lava (ppl(AT)spl.at), May 29 2006

LINKS

Index entries for sequences related to linear recurrences with constant coefficients

FORMULA

a(n) = 7a(n-1) - 6 = 8a(n-1) - 7a(n-2).

G.f.: 1/(1-x)+1/(1-7*x). E.g.f.: e^x+e^(7*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 02 2009]

MATHEMATICA

Table[7^n + 1, {n, 0, 20}]

PROGRAM

(Other) sage: [sigma(7, n)for n in xrange(0, 20)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 04 2009]

CROSSREFS

Cf. A000051, A034472, A052539, A034474, A062394, A062395, A062396, A007689, A063376, A063481, A074600 - A074624.

Sequence in context: A046165 A114619 A027047 this_sequence A121677 A120956 A000557

Adjacent sequences: A034488 A034489 A034490 this_sequence A034492 A034493 A034494

KEYWORD

easy,nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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