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A177706 Periodic sequence: Repeat 1, 1, 1, 1, 2. 2
1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Continued fraction expansion of (5+sqrt(65))/8.

Decimal expansion of 3704/33333.

a(n) = A130782(n+3).

LINKS

Table of n, a(n) for n=0..104.

FORMULA

a(n) = a(n-5) for n > 4; a(0) = 1, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2.

G.f.: (1+x+x^2+x^3+2*x^4)/(1-x^5).

a(n) = 2-((n+1)^4 mod 5). - Paolo P. Lava, Jul 02 2010

a(n+4) = A198517(n+2)+A198517(n+1)+A198517(n). - Bruno Berselli, Nov 02 2011

PROG

(MAGMA) &cat[ [1, 1, 1, 1, 2]: k in [1..21] ];

CROSSREFS

Cf. A130782 (repeat 1, 1, 2, 1, 1), A177707 (decimal expansion of (5+sqrt(65))/8).

Sequence in context: A139549 A216915 A130782 * A055457 A032542 A107038

Adjacent sequences:  A177703 A177704 A177705 * A177707 A177708 A177709

KEYWORD

nonn,cofr,easy

AUTHOR

Klaus Brockhaus, May 11 2010

STATUS

approved

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Last modified June 19 13:09 EDT 2013. Contains 226405 sequences.