This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A367856 #22 Apr 03 2024 03:38:21
%S A367856 0,1,3,2,5,6,4,8,10,9,7,13,16,14,12,11,20,25,22,19,15,17,31,38,34,29,
%T A367856 23,18,26,47,58,52,44,35,28,21,40,71,88,79,67,53,43,32,24,61,107,133,
%U A367856 119,101,80,65,49,37,27,92,161,200,179,152,121,98,74,56,41,30
%N A367856 Table T(n,k), read by downward antidiagonals: T(n,k) = floor((3*T(n,k-1)+2)/2) starting with T(n,0) = 3*n.
%C A367856 Permutation of nonnegative numbers.
%H A367856 Paolo Xausa, <a href="/A367856/b367856.txt">Table of n, a(n) for n = 0..11324</a> (first 150 antidiagonals, flattened).
%H A367856 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>.
%F A367856 T(n,0) = 3*n = A008585(n).
%F A367856 T(2*n,1) = 9*n+1 = A017173(n).
%F A367856 T(2*n+1,1) = 9*n+5 = A017221(n).
%F A367856 T(0,k) = A006999(k).
%F A367856 T(2^k+n, k) = 3^(k+1) + T(n, k).
%e A367856 Square array starts:
%e A367856 0, 1, 2, 4, 7, 11, 17, 26, 40, 61, ...
%e A367856 3, 5, 8, 13, 20, 31, 47, 71, 107, 161, ...
%e A367856 6, 10, 16, 25, 38, 58, 88, 133, 200, 301, ...
%e A367856 9, 14, 22, 34, 52, 79, 119, 179, 269, 404, ...
%e A367856 12, 19, 29, 44, 67, 101, 152, 229, 344, 517, ...
%e A367856 15, 23, 35, 53, 80, 121, 182, 274, 412, 619, ...
%e A367856 18, 28, 43, 65, 98, 148, 223, 335, 503, 755, ...
%e A367856 21, 32, 49, 74, 112, 169, 254, 382, 574, 862, ...
%e A367856 24, 37, 56, 85, 128, 193, 290, 436, 655, 983, ...
%e A367856 27, 41, 62, 94, 142, 214, 322, 484, 727, 1091, ...
%e A367856 ...
%t A367856 A367856[n_, k_] := A367856[n, k] = If[k == 0, 3*n, Floor[3*A367856[n, k-1]/2 + 1]];
%t A367856 Table[A367856[k, n-k], {n, 0, 10}, {k, 0, n}] (* _Paolo Xausa_, Apr 03 2024 *)
%Y A367856 Cf. A001651, A006999, A008585, A017173, A017221.
%K A367856 nonn,tabl
%O A367856 0,3
%A A367856 _Philippe Deléham_, Dec 03 2023
%E A367856 More terms from _Paolo Xausa_, Apr 03 2024