cp's OEIS Frontend

A203554 Lodumo_2 of A079813, which is n 0's followed by n 1's.

%I A203554 #12 Apr 07 2025 13:41:02
%S A203554 0,1,2,4,3,5,6,8,10,7,9,11,12,14,16,18,13,15,17,19,20,22,24,26,28,21,
%T A203554 23,25,27,29,30,32,34,36,38,40,31,33,35,37,39,41,42,44,46,48,50,52,54,
%U A203554 43,45,47,49,51,53,55
%N A203554 Lodumo_2 of A079813, which is n 0's followed by n 1's.
%C A203554 Permutation of nonnegative numbers.
%C A203554 Lodumo_k of sequences is defined in A159970.
%C A203554 The sequence has a natural decomposition into irregular triangle (see example). The length of row n is A008619(n). Rows sums are the cubes (A000578) interspersed with A007531. First column: A002378 interspersed with A002061.
%e A203554 Triangle begins :
%e A203554 0
%e A203554 1
%e A203554 2, 4
%e A203554 3, 5
%e A203554 6, 8, 10
%e A203554 7, 9, 11
%e A203554 12, 14, 16, 18
%e A203554 13, 15, 17, 19
%e A203554 20, 22, 24, 26, 28
%e A203554 21, 23, 25, 27, 29
%e A203554 30, 32, 34, 36, 38, 40
%e A203554 31, 33, 35, 37, 39, 41
%e A203554 42, 44, 46, 48, 50, 52, 54
%e A203554 43, 45, 47, 49, 51, 53, 55
%e A203554 56, 58, 60, 62, 64, 66, 68, 70
%e A203554 57, 59, 61, 63, 65, 67, 69, 71
%e A203554 72, 74, 76, 78, 80, 82, 84, 86, 88
%e A203554 73, 75, 77, 79, 81, 83, 85, 87, 89...
%e A203554 Row sums : 0 = 1^3 -1 = 0 ; 1 = 1^3 = 1 ; 2 + 4 = 2^3 - 2 = 6 ; 3 + 5 = 2^3 = 8 ; 6 + 8 + 10 = 3^3 - 3 = 24 ; 7 + 9 + 11 = 3^3 = 27 ; 12 + 14 + 16 + 18 = 4^3 - 4 = 60 ; 13 + 15 + 17 + 19 = 4^3 = 64 ; 20 + 22 + 24 + 26 + 28 = 5^3 - 5 = 120 ; 21 + 23 + 25 + 27 + 29 = 5^3 = 125 ; etc...
%Y A203554 Cf. A079813, A159970, A203553.
%Y A203554 Cf. A028387, A028552, A002061, A002378, A000578, A007531.
%K A203554 nonn
%O A203554 0,3
%A A203554 _Philippe Deléham_, Jan 02 2012