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A279724
Transpose of array A257943.
0
1, 2, 2, 3, 5, 5, 4, 8, 14, 14, 5, 11, 23, 41, 41, 6, 14, 32, 68, 122, 122, 7, 17, 41, 95, 203, 365, 365, 8, 20, 50, 122, 284, 608, 1094, 1094, 9, 23, 59, 149, 365, 851, 1823, 3281, 3281, 10, 26, 68, 176, 446, 1094, 2552, 5468, 9842, 9842
OFFSET
1,2
FORMULA
A(n,k) = (1 + 3^(k-1)*(2*n - 1))/2, n,k >= 1.
EXAMPLE
Array A begins as:
. 1 2 5 14 41 122 365 1094 3281 9842
. 2 5 14 41 122 365 1094 3281 9842 29525
. 3 8 23 68 203 608 1823 5468 16403 49208
. 4 11 32 95 284 851 2552 7655 22964 68891
. 5 14 41 122 365 1094 3281 9842 29525 88574
. 6 17 50 149 446 1337 4010 12029 36086 108257
. 7 20 59 176 527 1580 4739 14216 42647 127940
. 8 23 68 203 608 1823 5468 16403 49208 147623
. 9 26 77 230 689 2066 6197 18590 55769 167306
. 10 29 86 257 770 2309 6926 20777 62330 186989
MATHEMATICA
(* Array: *)
Grid[Table[(1 + 3^(k - 1)*(2*n - 1))/2, {n, 10}, {k, 10}]]
(* Array antidiagonals flattened (gives this sequence): *)
Flatten[Table[(1 + 3^(k - 1)*(2*(n - k) + 1))/2, {n, 10}, {k, n}]]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
L. Edson Jeffery, Dec 17 2016
STATUS
approved