|
|
A083064
|
|
Square number array T(n,k) = (k*(k+2)^n+1)/(k+1) read by antidiagonals.
|
|
11
|
|
|
1, 1, 1, 1, 2, 1, 1, 3, 5, 1, 1, 4, 11, 14, 1, 1, 5, 19, 43, 41, 1, 1, 6, 29, 94, 171, 122, 1, 1, 7, 41, 173, 469, 683, 365, 1, 1, 8, 55, 286, 1037, 2344, 2731, 1094, 1, 1, 9, 71, 439, 2001, 6221, 11719, 10923, 3281, 1, 1, 10, 89, 638, 3511, 14006, 37325, 58594, 43691, 9842, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,5
|
|
LINKS
|
|
|
EXAMPLE
|
Rows begin:
1 1 1 1 1 1 1 1 1 ...
1 2 5 14 41 122 365 1094 3281 ... A007051
1 3 11 43 171 683 2731 10923 43691 ... A007583
1 4 19 94 469 2344 11719 58594 292969 ... A083065
1 5 29 173 1037 6221 37325 223949 1343693 ... A083066
1 6 41 286 2001 14006 98041 686286 4804001 ... A083067
1 7 55 439 3511 28087 224695 1797559 14380471 ... A083068
1 8 71 638 5741 51668 465011 4185098 37665881 ... A187709
1 9 89 889 8889 88889 888889 8888889 88888889 ... A059482
1 10 109 1198 13177 144946 1594405 17538454 192922993 ... A199760, etc.
Diagonals:
1, 2, 11, 94, 1037, 14006, ... A083069;
1, 3, 19, 173, 2001, 28087, ... A083071;
1, 4, 29, 286, 3511, 51668, ... A083072;
1, 5, 41, 439, 5741, 88889, ... A083073;
1, 5, 43, 469, 6221, 98041, ... A083070;
1, 14, 171, 2344, 37325, 686286, ... A191690.
Triangle begins:
1;
1, 1;
1, 2, 1;
1, 3, 5, 1;
1, 4, 11, 14, 1;
1, 5, 19, 43, 41, 1;
1, 6, 29, 94, 171, 122, 1; etc.
|
|
CROSSREFS
|
Cf. rows: A007051, A007583, A059482, A083065 - A083068, A187709, A199760; columns: A000027, A028387, A083074, A125082, A125083; diagonals: A083069 - A083073, A191690.
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|