A038791 An intermediate sequence for nonisomorphic circulant p^2-tournaments, indexed by odd primes p.
2, 4, 12, 104, 344, 4096, 14572, 190652, 9586984, 35791472, 1908874584, 27487790720, 104715393912, 1529755308212, 86607685141744, 4969489243995032, 19215358410149344, 1117984489315857512, 16865594581677305360, 65588423373189982912
Offset: 2
Links
- Charles R Greathouse IV, Table of n, a(n) for n = 2..100
- M. Klin, V. A. Liskovets and R. Poeschel, Analytical enumeration of circulant graphs with prime-squared vertices, Sem. Lotharingien de Combin., B36d, 1996, 36 pages.
Programs
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Mathematica
has[p_] := Module[{v, u}, v = Table[0, {p-1}]; v[[1]] = 1; For[n = 2, n <= p-1, n++, u = Table[0, {p-1}]; For[j = 1, j <= p-1, j++, u[[Mod[j*n, p]]] += v[[j]]]; v += u]; 2*v[[1]]]; a[n_] := has[Prime[n]]; Table[a[n], {n, 2, 21}] (* Jean-François Alcover, Aug 30 2019, after Charles R Greathouse IV *) -
PARI
has(p)=my(v=vector(p-1),u); v[1]=1; for(n=2,p-1,u=vector(p-1); for(j=1,p-1, u[j*n%p]+=v[j]);v+=u); 2*v[1] a(n)=has(prime(n)) \\ Charles R Greathouse IV, Jun 06 2013
Formula
a(n) = A238446(n) + 1. - Ridouane Oudra, Jul 08 2025
Extensions
More terms from Valery A. Liskovets, May 09 2001
a(12)-a(20) from Charles R Greathouse IV, Jun 06 2013
Comments