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A244567 Triangle T(n,k) in which the n-th row lists in increasing order all values s such that n is in the trajectory of the 'Reverse and Add!' sequence starting with s; triangle T(n,k), n>=0, 1<=k<=A244569(n), read by rows.

%I A244567 #18 Jan 24 2019 20:45:47
%S A244567 0,1,1,2,3,1,2,4,5,3,6,7,1,2,4,8,9,5,10,5,10,11,3,6,12,13,7,14,15,1,2,
%T A244567 4,8,16,17,9,18,19,20,21,5,10,11,20,22,23,24,25,26,27,28,29,30,31,32,
%U A244567 3,6,12,21,30,33,34,35,36,37,38,39,40,41,42,43
%N A244567 Triangle T(n,k) in which the n-th row lists in increasing order all values s such that n is in the trajectory of the 'Reverse and Add!' sequence starting with s; triangle T(n,k), n>=0, 1<=k<=A244569(n), read by rows.
%H A244567 Alois P. Heinz, <a href="/A244567/b244567.txt">Rows n = 0..6000, flattened</a>
%e A244567 Triangle T(n,k) begins:
%e A244567    0;
%e A244567    1;
%e A244567    1,  2;
%e A244567    3;
%e A244567    1,  2,  4;
%e A244567    5;
%e A244567    3,  6;
%e A244567    7;
%e A244567    1,  2,  4,  8;
%e A244567    9;
%e A244567    5, 10;
%e A244567    5, 10, 11;
%e A244567    3,  6, 12;
%e A244567   13;
%e A244567    7, 14;
%e A244567   15;
%e A244567    1,  2,  4,  8,  16;
%e A244567   17;
%Y A244567 Column k=0 gives A244568.
%Y A244567 Last elements of rows give A001477.
%Y A244567 Cf. A001127, A033648, A033670, A006960, A004086, A244569.
%K A244567 nonn,tabf,look
%O A244567 0,4
%A A244567 _Alois P. Heinz_, Jun 30 2014