A279724 Transpose of array A257943.

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

Links

Table of n, a(n) for n=1..55.

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

Cf. A191450, A254051, A257943.

Sequence in context: A340575 A139171 A329570 * A050174 A115126 A055769

Adjacent sequences: A279721 A279722 A279723 * A279725 A279726 A279727

Keyword

nonn,tabl

Author

L. Edson Jeffery, Dec 17 2016

Status

approved