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A132400 Period 4: repeat 1, 5, 3, 1. +0
1
1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1, 1, 5, 3, 1 (list; graph; listen)
OFFSET

0,2

FORMULA

Final digits of A082311.

O.g.f.: -(1+5*x+3*x^2+x^3)/((x-1)*(x+1)*(1+x^2)) = -(5/2)/(x-1)-(1/2)/(x+1)+(2*x-1)/(1+x^2) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 28 2007

a(n)=(1/12)*{5*(n mod 4)+11*[(n+1) mod 4]+11*[(n+2) mod 4]-7*[(n+3) mod 4]}. - Paolo P. Lava (ppl(AT)spl.at), Nov 30 2007

a(n)=5/2-[(1/2)+I]*I^n-(1/2)*(-1)^n-[(1/2)-I]*(-I)^n, with n>=0 and I=sqrt(-1) - Paolo P. Lava (ppl(AT)spl.at), Jul 17 2008

CROSSREFS

Sequence in context: A094853 A096937 A097527 this_sequence A063268 A021657 A011332

Adjacent sequences: A132397 A132398 A132399 this_sequence A132401 A132402 A132403

KEYWORD

nonn

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Nov 20 2007

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Last modified December 3 01:16 EST 2008. Contains 151161 sequences.


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