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.

A129620 Square array read by falling antidiagonals: T(n,k) is the number of connected directed multigraphs with loops with n arcs and at most k vertices.

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%I A129620 #21 Oct 23 2019 14:43:08
%S A129620 1,1,0,1,1,0,1,2,1,0,1,2,5,1,0,1,2,8,9,1,0,1,2,8,24,17,1,0,1,2,8,32,
%T A129620 74,26,1,0,1,2,8,32,140,189,41,1,0,1,2,8,32,167,542,460,57,1,0,1,2,8,
%U A129620 32,167,837,1964,989,81,1,0,1,2,8,32,167,928,4167,6291,2021,106,1,0
%N A129620 Square array read by falling antidiagonals: T(n,k) is the number of connected directed multigraphs with loops with n arcs and at most k vertices.
%C A129620 Partial sums of the rows of A139621, i.e., T(n,k) = sum(A139621(n,p),p=0..k).
%H A129620 Andrew Howroyd, <a href="/A129620/b129620.txt">Table of n, a(n) for n = 0..1325</a>
%F A129620 T(n,2) = A138107(n,2) - floor(n/2).
%F A129620 If k >= n+1, T(n,k) = A137975(n).
%e A129620 1  1  1  1  1  1  ...
%e A129620 0  1  2  2  2  2  ...
%e A129620 0  1  5  8  8  8  ...
%e A129620 0  1  9 24 32 32  ...
%e A129620 0  1  17  (...)
%e A129620 (...)
%Y A129620 Cf. A138107, A139621.
%K A129620 nonn,tabl
%O A129620 0,8
%A A129620 _Benoit Jubin_, May 06 2008
%E A129620 Name edited by _M. F. Hasler_, Jul 31 2017
%E A129620 Terms a(32) and beyond from _Andrew Howroyd_, Oct 22 2019