1,2

Periodic of period 12. Parker vector of the wreath product of S_4 and S, the symmetric group of a countable set.

D. A. Gewurz and F. Merola, Sequences realized as Parker vectors of oligomorphic permutation groups, J. Integer Seq., 6 (2003), 03.1.6

G.f.: x/(1-x)+x^2/(1-x^2)+x^3/(1-x^3)+x^4/(1-x^4). a(n)=a(n-12)=a(-n).

a(n)=1/792*{223*(n mod 12)-173*[(n+1) mod 12]+91*[(n+2) mod 12]+25*[(n+3) mod 12]+91*[(n+4) mod 12]-107*[(n+5) mod 12]+157*[(n+6) mod 12]-107*[(n+7) mod 12]+157*[(n+8) mod 12]-41*[(n+9) mod 12]+25*[(n+10) mod 12]-41*[(n+11) mod 12]} with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Nov 24 2006

Cf. A083039, A000005

Sequence in context: A079688 A088598 A077083 this_sequence A083899 A088904 A047972

Adjacent sequences: A083037 A083038 A083039 this_sequence A083041 A083042 A083043

easy,nonn

Daniele A. Gewurz (gewurz(AT)mat.uniroma1.it) and Francesca Merola (merola(AT)mat.uniroma1.it), May 06 2003