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.

A176208 An irregular table with shape sequence A058884 measuring the length of ordered partitions defined by A176207.

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%I A176208 #8 Apr 22 2023 00:23:41
%S A176208 2,2,3,2,2,3,3,4,2,3,2,3,3,4,4,5,2,2,3,3,4,2,3,3,4,3,4,5,4,5,6,2,3,2,
%T A176208 3,3,4,3,4,5,2,3,3,4,3,4,5,4,4,5,6,5,6,7,2,2,3,3,4,2,3,3,4,3,4,5,4,4,
%U A176208 5,6,2,3,3,4,3,4,5,3,4,4,5,6,4,5,5,6,7,5,6,7,8
%N A176208 An irregular table with shape sequence A058884 measuring the length of ordered partitions defined by A176207.
%H A176208 Andrew Howroyd, <a href="/A176208/b176208.txt">Table of n, a(n) for n = 3..5555</a> (rows 3..20)
%e A176208 A058884 begins -1 0 0 1 2 5 8 15 ..., counting
%e A176208   12
%e A176208   13 121
%e A176208   23 14 131 122 1211
%e A176208   ...
%e A176208 so triangle T(n,k) begins:
%e A176208   2;
%e A176208   2, 3;
%e A176208   2, 2, 3, 3, 4;
%e A176208   2, 3, 2, 3, 3, 4, 4, 5;
%e A176208   2, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 5, 4, 5, 6;
%e A176208   ...
%o A176208 (PARI)
%o A176208 L(n,k)={vecsort([Vecrev(p) | p<-partitions(k), p[#p] > n-k], , 4)}
%o A176208 row(n)={ concat(vector(n-1, k, [#p + 1 | p<-L(n,k)])) }
%o A176208 for(n=3, 8, print(row(n))) \\ _Andrew Howroyd_, Apr 21 2023
%Y A176208 Cf. A058884 (row lengths), A176206, A176207.
%K A176208 nonn,tabf,uned
%O A176208 3,1
%A A176208 _Alford Arnold_, Apr 12 2010
%E A176208 Terms a(34) and beyond from _Andrew Howroyd_, Apr 21 2023