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A135537 Period 4: repeat 7, 5, 2, 4. 0
7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

Terms of the simple continued fraction of 158/[19*sqrt(365)-341]. Decimal expansion of 76/101. [From Paolo P. Lava (paoloplava(AT)gmail.com), Aug 05 2009]

FORMULA

O.g.f.: [(x+5)/(x^2+1)+9(1-x)]/2. a(n) = [(-1)^[n/2]*A010686(n+1)+9]/2 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 23 2008

a(n)=(1/4)*{[(n+1) mod 4]+6*[(n+2) mod 4]+5*[(n+3) mod 4]}, with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Feb 25 2008

a(n)=9/2+[5/4-(1/4)*I]*I^n+[5/4+(1/4)*I]*(-I)^n, with n>=0 and I=sqrt(-1) - Paolo P. Lava (paoloplava(AT)gmail.com), Jul 17 2008

MATHEMATICA

Flatten[Table[{7, 5, 2, 4}, {20}]] (* From Harvey P. Dale, June 22 2011 *)

CROSSREFS

Cf. A021408, A010693; equals A135536 mod 9.

Sequence in context: A071876 A191503 A070404 * A112545 A021934 A021097

Adjacent sequences:  A135534 A135535 A135536 * A135538 A135539 A135540

KEYWORD

nonn

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Feb 22 2008

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Last modified February 15 07:36 EST 2012. Contains 205712 sequences.