1,2

Periodic of period 6. Parker vector of the wreath product of S_3 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). a(n)=a(n-6)=a(-n).

a(n)=(1/90)*{41*(n mod 6)-19*[(n+1) mod 6]+26*[(n+2) mod 6]+11*[(n+3) mod 6]+11*[(n+4) mod 6]-4*[(n+5) mod 6]} with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Nov 27 2006

(PARI) a(n)=[3, 1, 2, 2, 2, 1][n%6+1]

Cf. A083040, A000005

Sequence in context: A093116 A124369 A138258 this_sequence A106253 A078720 A083898

Adjacent sequences: A083036 A083037 A083038 this_sequence A083040 A083041 A083042

easy,nonn

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