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Relational systems on n nodes.
(Formerly M3726 N1523)
0

%I M3726 N1523 #18 Nov 20 2016 23:37:51

%S 4,32896,3002399885885440,14178431955039103827204744901417762816,

%T 15077094952775546279110805340148653909930339849938544191736262642546769920,

%U 15403720522893415886546745467461576130202428237004582894538688334760691986727408991549968230000116580053960252500580634898464768

%N Relational systems on n nodes.

%D W. Oberschelp, "Strukturzahlen in endlichen Relationssystemen," in Contributions to Mathematical Logic (Proceedings 1966 Hanover Colloquium), pp. 199-213, North-Holland Publ., Amsterdam, 1968.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H W. Oberschelp, <a href="/A000662/a000662.pdf"> Strukturzahlen in endlichen Relationssystemen</a>, in Contributions to Mathematical Logic (Proceedings 1966 Hanover Colloquium), pp. 199-213, North-Holland Publ., Amsterdam, 1968. [Annotated scanned copy]

%F a(n) = Sum_{1*s_1+2*s_2+...=n} (fix A[s_1, s_2,...]/(1^s_1*s_1!*2^s_2*s_2!*...)) where fix A[s_1, s_2, ...] = 4^Sum_{i, j, k>=1} (i*j*k*s_i*s_j*s_k/lcm(i, j, k)). - _Sean A. Irvine_, Nov 20 2016

%K nonn

%O 1,1

%A _N. J. A. Sloane_

%E a(5)-a(6) from _Sean A. Irvine_, Nov 20 2016