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A010727 Constant sequence: the all 7's sequence. 10
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

a(n)=(submitted A153466=232,610,1600,4192,10978,) mod 9. From A014217=1,1,2,4,6,11 and submitted A153382. [From Paul Curtz (bpcrtz(AT)free.fr), Dec 27 2008]

Continued fraction expansion of (7+sqrt(53))/2.  - Bruno Berselli, Mar 15 2011

Final digit of 16^(2^n) + 1. That is, the last digit of every Fermat number F(n) is 7, where n >= 2. [Arkadiusz Wesolowski, Jul 28 2011]

Decimal expansion of 7/9. [Arkadiusz Wesolowski, Sep 12 2011]

LINKS

Index entries for sequences related to linear recurrences with constant coefficients, signature (1).

Tanya Khovanova, Recursive Sequences

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1015

FORMULA

G.f.: 7/(1-x).  - Bruno Berselli, Mar 15 2011

a(n) = 7. [Arkadiusz Wesolowski, Sep 12 2011]

E.g.f.: 7*e^x. - Vincenzo Librandi, Jan 28 2012

MATHEMATICA

ContinuedFraction[(7 + Sqrt@ 53)/2, 105] (* Or *)

CoefficientList[ Series[7/(1 - x), {x, 0, 104}], x] (* RGWv *)

CROSSREFS

Sequence in context: A112114 A031182 A106705 * A186684 A108689 A024583

Adjacent sequences:  A010724 A010725 A010726 * A010728 A010729 A010730

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 16 03:44 EST 2012. Contains 205860 sequences.