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.

A360493 Square of A(n,m) read by antidiagonals. A(n,m) = number of set partitions of [7n] into 7-element subsets {i, i+k, i+2k, i+3k, i+4k, i+5k, i+6k} with 1 <= k <= m.

This page as a plain text file.
%I A360493 #10 Feb 13 2023 16:17:18
%S A360493 1,1,1,1,2,1,1,2,3,1,1,2,4,5,1,1,2,4,7,8,1,1,2,4,10,13,13,1,1,2,4,10,
%T A360493 19,24,21,1,1,2,4,10,20,41,44,34,1,1,2,4,10,20,43,84,81,55,1,1,2,4,10,
%U A360493 20,56,89,180,149,89,1,1,2,4,10,20,56,115,192,372,274,144,1
%N A360493 Square of A(n,m) read by antidiagonals. A(n,m) = number of set partitions of [7n] into 7-element subsets {i, i+k, i+2k, i+3k, i+4k, i+5k, i+6k} with 1 <= k <= m.
%F A360493 A(n,m) = A104433(n) = A104443(n,7) for m >= floor((7*n - 1) / 6).
%e A360493 Square array begins:
%e A360493   1,   1,   1,    1,    1,    1,    1,    1,     1, ...
%e A360493   1,   2,   2,    2,    2,    2,    2,    2,     2, ...
%e A360493   1,   3,   4,    4,    4,    4,    4,    4,     4, ...
%e A360493   1,   5,   7,   10,   10,   10,   10,   10,    10, ...
%e A360493   1,   8,  13,   19,   20,   20,   20,   20,    20, ...
%e A360493   1,  13,  24,   41,   43,   56,   56,   56,    56, ...
%e A360493   1,  21,  44,   84,   89,  115,  116,  117,   117, ...
%e A360493   1,  34,  81,  180,  192,  267,  269,  322,   323, ...
%e A360493   1,  55, 149,  372,  404,  592,  597,  704,   744, ...
%e A360493   1,  89, 274,  785,  860, 1372, 1384, 1741,  1822, ...
%e A360493   1, 144, 504, 1637, 1816, 3028, 3060, 3886,  4088, ...
%e A360493   1, 233, 927, 3442, 3857, 7038, 7114, 9742, 10374, ...
%e A360493   ...
%Y A360493 Columns 1..3 are A000012, A000045(n+1), A000073(n+2).
%Y A360493 Cf. A104433, A104443, A360333..A360335, A360491, A360492.
%K A360493 nonn,tabl
%O A360493 1,5
%A A360493 _Peter Dolland_, Feb 09 2023