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A203553 Lodumo_2 of A118175, which is n 1's followed by n 0's.

%I A203553 #13 Feb 22 2013 14:40:24
%S A203553 1,0,3,5,2,4,7,9,11,6,8,10,13,15,17,19,12,14,16,18,21,23,25,27,29,20,
%T A203553 22,24,26,28,31,33,35,37,39,41,30,32,34,36,38,40,43,45,47,49,51,53,55,
%U A203553 42,44,46,48,50,52,54,57,59,61,63,65,67,69,71,56,58,60,62,64,66,68,70
%N A203553 Lodumo_2 of A118175, which is n 1's followed by n 0's.
%C A203553 Permutation of nonnegative numbers.
%C A203553 Lodumo_k of sequences is defined in A159970.
%C A203553 The sequence has a natural decomposition into irregular triangle (see example). The length of row n is A008619 (n). Row sums are the cubes (A000578) interspersed with A007531.
%F A203553 a(n)= Lodumo_2(A118175(n)).
%e A203553 Triangle begins :
%e A203553 1
%e A203553 0
%e A203553 3, 5
%e A203553 2, 4
%e A203553 7, 9, 11
%e A203553 6, 8, 10
%e A203553 13, 15, 17, 19
%e A203553 12, 14, 16, 18
%e A203553 21, 23, 25, 27, 29
%e A203553 20, 22, 24, 26, 28
%e A203553 31, 33, 35, 37, 39, 41
%e A203553 30, 32, 34, 36, 38, 40
%e A203553 43, 45, 47, 49, 51, 53, 55
%e A203553 42, 44, 46, 48, 50, 52, 54
%e A203553 57, 59, 61, 63, 65, 67, 69, 71
%e A203553 56, 58, 60, 62, 64, 66, 68, 70
%e A203553 73, 75, 77, 79, 81, 83, 85, 87, 89
%e A203553 72, 74, 76, 78, 80, 82, 84, 86, 88 ...
%e A203553 Row sums : 1 = 1^3 ; 0 = 1^3 - 1 ; 3 + 5 = 2^3 ; 2 + 4 = 2^3 - 2 = 6 ; 7 + 9 + 11 = 3^3 = 27 ; 6 + 8 + 10 = 3^3 - 3 = 24 ; 13 + 15 + 17 + 19 = 4^3 = 64 ; 12 + 14 + 16 + 18 = 4^4 - 4 = 60 ; ...
%Y A203553 Cf. A118175, A159970, A203554.
%Y A203553 Cf. A000578, A007531, A002061, A002378, A028387, A028552.
%K A203553 nonn
%O A203553 0,3
%A A203553 _Philippe Deléham_, Jan 02 2012