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.

A182371 Number of connected labeled graphs with n nodes and n+11 edges.

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%I A182371 #16 Jun 22 2025 13:43:32
%S A182371 0,0,0,0,0,0,1330,6905220,7279892361,3717889913655,1255470137209650,
%T A182371 326123611416074340,70993993399632155710,13659118629343706026053,
%U A182371 2405832308811599670396135,397496768417871214784702640,62693059156926401902640364120,9561367292987041683030275944320
%N A182371 Number of connected labeled graphs with n nodes and n+11 edges.
%H A182371 Andrew Howroyd, <a href="/A182371/b182371.txt">Table of n, a(n) for n = 1..100</a>
%H A182371 S. Janson, D. E. Knuth, T. Ɓuczak and B. Pittel, <a href="http://dx.doi.org/10.1002/rsa.3240040303">The Birth of the Giant Component</a>, Random Structures and Algorithms Vol. 4 (1993), 233-358.
%p A182371 N:=20: [seq(coeff(op(i, [seq(coeff(taylor(log(add(x^i*(1+y)^(binomial(i, 2))/i!, i=0..N)), x=0, N+1), x, i)*i!, i=1..N)]), y, i-1+12), i=1..N)];
%Y A182371 A diagonal of A343088.
%Y A182371 Cf. A057500.
%K A182371 nonn
%O A182371 1,7
%A A182371 _Michael Burkhart_, Apr 26 2012
%E A182371 Offset corrected and terms a(17) and beyond from _Andrew Howroyd_, Apr 16 2021