cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A275744 Triangle read by rows: Number of unlabeled cubic graphs with 2n nodes and k components.

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%I A275744 #13 Apr 13 2017 20:01:01
%S A275744 0,1,0,2,0,0,5,1,0,0,19,2,0,0,0,85,8,1,0,0,0,509,29,2,0,0,0,0,4060,
%T A275744 138,8,1,0,0,0,0,41301,774,33,2,0,0,0,0,0,510489,5693,153,8,1,0,0,0,0,
%U A275744 0,7319447,53581,861,33,2,0,0,0,0,0,0,117940535,626717,6173,158,8,1
%N A275744 Triangle read by rows: Number of unlabeled cubic graphs with 2n nodes and k components.
%C A275744 Multiset transformation of A002851.
%H A275744 <a href="/index/Mu#multiplicative_completely">Index entries for triangles generated by the Multiset Transformation</a>
%F A275744 T(n,1) = A002851(n).
%F A275744 T(n,k) = Sum_{c_i*N_i=n,i=1..k} binomial(T(N_i,1)+c_i-1,c_i) for 1<k<=n.
%F A275744 G.f.: Product_{j>=1} (1-y*x^j)^(-A002851(j)). - _Alois P. Heinz_, Apr 13 2017
%e A275744 The triangle starts
%e A275744       0;
%e A275744       1       0;
%e A275744       2       0       0;
%e A275744       5       1       0       0;
%e A275744      19       2       0       0       0;
%e A275744      85       8       1       0       0       0;
%e A275744     509      29       2       0       0       0       0;
%e A275744    4060     138       8       1       0       0       0       0;
%e A275744   41301     774      33       2       0       0       0       0       0;
%e A275744 .510489    5693     153       8       1       0       0       0       0       0;
%e A275744 ...
%Y A275744 Cf. A005638 (row sums).
%K A275744 nonn,tabl
%O A275744 1,4
%A A275744 _R. J. Mathar_, Aug 07 2016