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.

A369227 Triangle read by rows: T(n,k) is the number of uniquely colorable simple graphs on n nodes with chromatic number k = 1..n.

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%I A369227 #24 Feb 16 2025 08:34:06
%S A369227 1,1,1,1,1,1,1,3,1,1,1,5,3,1,1,1,17,12,3,1,1,1,44,72,12,3,1,1,1,182,
%T A369227 856,127,12,3,1,1,1,730,17018,3426,127,12,3,1,1,1,4032,531568,221188,
%U A369227 4938,127,12,3,1,1,1,25598
%N A369227 Triangle read by rows: T(n,k) is the number of uniquely colorable simple graphs on n nodes with chromatic number k = 1..n.
%H A369227 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ChromaticNumber.html">Chromatic Number</a>.
%H A369227 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SimpleGraph.html">Simple Graph</a>.
%H A369227 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/UniquelyColorableGraph.html">Uniquely Colorable Graph</a>.
%F A369227 T(n,1) = 1.
%F A369227 T(n,2) = A005142(n).
%F A369227 T(n,3) = A348222(n).
%F A369227 T(n,n) = 1.
%F A369227 Sum_{k=1..n} T(n,k) = A369223(n).
%e A369227 Triangle read by rows:
%e A369227   1
%e A369227   1,     1
%e A369227   1,     1,      1
%e A369227   1,     3,      1,      1
%e A369227   1,     5,      3,      1,    1
%e A369227   1,    17,     12,      3,    1,   1
%e A369227   1,    44,     72,     12,    3,   1,  1
%e A369227   1,   182,    856,    127,   12,   3,  1, 1
%e A369227   1,   730,  17018,   3426,  127,  12,  3, 1, 1
%e A369227   1,  4032, 531568, 221188, 4938, 127, 12, 3, 1, 1
%e A369227   1, 25598,    ...
%Y A369227 Cf. A005142, A348222, A369223.
%K A369227 nonn,tabl,more
%O A369227 1,8
%A A369227 _Eric W. Weisstein_, Jan 16 2024