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Transpose of array A257943.
0

%I #4 Dec 21 2016 13:52:45

%S 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,

%T 203,365,365,8,20,50,122,284,608,1094,1094,9,23,59,149,365,851,1823,

%U 3281,3281,10,26,68,176,446,1094,2552,5468,9842,9842

%N Transpose of array A257943.

%F A(n,k) = (1 + 3^(k-1)*(2*n - 1))/2, n,k >= 1.

%e Array A begins as:

%e . 1 2 5 14 41 122 365 1094 3281 9842

%e . 2 5 14 41 122 365 1094 3281 9842 29525

%e . 3 8 23 68 203 608 1823 5468 16403 49208

%e . 4 11 32 95 284 851 2552 7655 22964 68891

%e . 5 14 41 122 365 1094 3281 9842 29525 88574

%e . 6 17 50 149 446 1337 4010 12029 36086 108257

%e . 7 20 59 176 527 1580 4739 14216 42647 127940

%e . 8 23 68 203 608 1823 5468 16403 49208 147623

%e . 9 26 77 230 689 2066 6197 18590 55769 167306

%e . 10 29 86 257 770 2309 6926 20777 62330 186989

%t (* Array: *)

%t Grid[Table[(1 + 3^(k - 1)*(2*n - 1))/2, {n, 10}, {k, 10}]]

%t (* Array antidiagonals flattened (gives this sequence): *)

%t Flatten[Table[(1 + 3^(k - 1)*(2*(n - k) + 1))/2, {n, 10}, {k, n}]]

%Y Cf. A191450, A254051, A257943.

%K nonn,tabl

%O 1,2

%A _L. Edson Jeffery_, Dec 17 2016