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A260596 Array A read by upward antidiagonals in which the entry A(n,k) in row n and column k is defined by A(n,k) = (8 + (3*floor((4*n + 1)/3) - 2)*4^k)/12, n,k >= 1.

%I A260596 #7 Aug 16 2015 17:20:23
%S A260596 1,3,2,4,10,6,5,14,38,22,7,18,54,150,86,8,26,70,214,598,342,9,30,102,
%T A260596 278,854,2390,1366,11,34,118,406,1110,3414,9558,5462,12,42,134,470,
%U A260596 1622,4438,13654,38230,21846,13,46,166,534,1878,6486,17750,54614,152918,87382
%N A260596 Array A read by upward antidiagonals in which the entry A(n,k) in row n and column k is defined by A(n,k) = (8 + (3*floor((4*n + 1)/3) - 2)*4^k)/12, n,k >= 1.
%C A260596 Sequence is a permutation of the natural numbers.
%C A260596 Is this array the same as the dispersion A191668?
%F A260596 T(n,k) = A(n-k+1,k) = (8 + (3*floor((4*(n-k+1) + 1)/3) - 2)*4^k)/12, n >= k >=1.
%e A260596 Array A begins:
%e A260596 .   1   2    6   22    86    342   1366    5462   21846    87382
%e A260596 .   3  10   38  150   598   2390   9558   38230  152918   611670
%e A260596 .   4  14   54  214   854   3414  13654   54614  218454   873814
%e A260596 .   5  18   70  278  1110   4438  17750   70998  283990  1135958
%e A260596 .   7  26  102  406  1622   6486  25942  103766  415062  1660246
%e A260596 .   8  30  118  470  1878   7510  30038  120150  480598  1922390
%e A260596 .   9  34  134  534  2134   8534  34134  136534  546134  2184534
%e A260596 .  11  42  166  662  2646  10582  42326  169302  677206  2708822
%e A260596 .  12  46  182  726  2902  11606  46422  185686  742742  2970966
%e A260596 .  13  50  198  790  3158  12630  50518  202070  808278  3233110
%e A260596 ...
%e A260596 The triangle T(n, k) begins:
%e A260596 n\k 1  2   3   4    5    6     7     8      9    10 ...
%e A260596 1:  1
%e A260596 2:  3  2
%e A260596 3:  4 10   6
%e A260596 4:  5 14  38  22
%e A260596 5:  7 18  54 150   86
%e A260596 6:  8 26  70 214  598  342
%e A260596 7:  9 30 102 278  854 2390  1366
%e A260596 8: 11 34 118 406 1110 3414  9558  5462
%e A260596 9: 12 42 134 470 1622 4438 13654 38230 21846
%e A260596 10:13 46 166 534 1878 6486 17750 54614 152918 87382
%e A260596 ... Triangle formatted by _Wolfdieter Lang_, Aug 16 2015.
%t A260596 (* Array: *)
%t A260596 Grid[Table[(8 + (3*Floor[(4*n + 1)/3] - 2)*4^k)/12, {n, 10}, {k, 10}]]
%t A260596 (* Array antidiagonals flattened: *)
%t A260596 Flatten[Table[(8 + (3*Floor[(4*(n - k) + 5)/3] - 2)*4^k)/12, {n, 10}, {k, n}]]
%Y A260596 Cf. A000302, A042965, A016825, A191668.
%K A260596 nonn,tabl
%O A260596 1,2
%A A260596 _L. Edson Jeffery_, Jul 29 2015
%E A260596 Edited: _Wolfdieter Lang_, Aug 16 2015