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A129756 Repetitions of odd numbers four times. +0
2
1, 1, 1, 1, 3, 3, 3, 3, 5, 5, 5, 5, 7, 7, 7, 7, 9, 9, 9, 9, 11, 11, 11, 11, 13, 13, 13, 13, 15, 15, 15, 15, 17, 17, 17, 17, 19, 19, 19, 19, 21, 21, 21, 21, 23, 23, 23, 23, 25, 25, 25, 25, 27, 27, 27, 27, 29, 29, 29, 29, 31, 31, 31, 31, 33, 33, 33, 33, 35, 35, 35, 35, 37, 37, 37, 37 (list; graph; listen)
OFFSET

0,5

FORMULA

a(n) = {Sum_{k=0..n} (k+1)*cos[(n-k)*Pi/2]}+1/4*[2*cos(n*Pi/2)+1+(-1)^n]-1, with n>=0

a(n)=1+2*floor(n/4)=1+2*A002265(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 10 2007

G.f.: (1+x^4)/(-1+x)^2/(1+x)/(x^2+1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 18 2007

CROSSREFS

Sequence in context: A118911 A111756 A130821 this_sequence A075753 A006166 A079084

Adjacent sequences: A129753 A129754 A129755 this_sequence A129757 A129758 A129759

KEYWORD

easy,nonn

AUTHOR

Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), May 15 2007

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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