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.

A360491 Square of A(n,m) read by antidiagonals. A(n,m) = number of set partitions of [5n] into 5-element subsets {i, i+k, i+2k, i+3k, i+4k} with 1 <= k <= m.

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%I A360491 #13 Feb 13 2023 16:15:57
%S A360491 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 A360491 19,24,21,1,1,2,4,10,20,41,44,34,1,1,2,4,10,21,43,84,81,55,1,1,2,4,10,
%U A360491 21,58,89,180,149,89,1,1,2,4,10,21,59,120,192,372,274,144,1
%N A360491 Square of A(n,m) read by antidiagonals. A(n,m) = number of set partitions of [5n] into 5-element subsets {i, i+k, i+2k, i+3k, i+4k} with 1 <= k <= m.
%F A360491 A(n,m) = A104431(n) = A104443(n,5) for m >= floor((5n - 1) / 4).
%e A360491 Square array begins:
%e A360491   1,   1,   1,    1,    1,    1,    1,    1,    1, ...
%e A360491   1,   2,   2,    2,    2,    2,    2,    2,    2, ...
%e A360491   1,   3,   4,    4,    4,    4,    4,    4,    4, ...
%e A360491   1,   5,   7,   10,   10,   10,   10,   10,   10, ...
%e A360491   1,   8,  13,   19,   20,   21,   21,   21,   21, ...
%e A360491   1,  13,  24,   41,   43,   58,   59,   59,   59, ...
%e A360491   1,  21,  44,   84,   89,  120,  124,  125,  125, ...
%e A360491   1,  34,  81,  180,  192,  280,  289,  344,  349, ...
%e A360491   1,  55, 149,  372,  404,  626,  648,  759,  811, ...
%e A360491   1,  89, 274,  785,  860, 1454, 1510, 1877, 1996, ...
%e A360491   1, 144, 504, 1637, 1816, 3272, 3414, 4263, 4565, ...
%e A360491   ...
%Y A360491 Main diagonal is A349430.
%Y A360491 Columns 1..3 are A000012, A000045(n+1), A000073(n+2).
%Y A360491 Cf. A104431, A104443, A360333..A360335, A360492, A360493.
%K A360491 nonn,tabl
%O A360491 1,5
%A A360491 _Peter Dolland_, Feb 09 2023