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

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, 23, 25, 27, 29, 30, 32, 34, 36, 38, 40, 31, 33, 35, 37, 39, 41, 42, 44, 46, 48, 50, 52, 54, 43, 45, 47, 49, 51, 53, 55

Offset

0,3

Comments

Permutation of nonnegative numbers.

Lodumo_k of sequences is defined in A159970.

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.

Links

Table of n, a(n) for n=0..55.

Example

Triangle begins :
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, 23, 25, 27, 29
30, 32, 34, 36, 38, 40
31, 33, 35, 37, 39, 41
42, 44, 46, 48, 50, 52, 54
43, 45, 47, 49, 51, 53, 55
56, 58, 60, 62, 64, 66, 68, 70
57, 59, 61, 63, 65, 67, 69, 71
72, 74, 76, 78, 80, 82, 84, 86, 88
73, 75, 77, 79, 81, 83, 85, 87, 89...
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...

Crossrefs

Cf. A079813, A159970, A203553.

Cf. A028387, A028552, A002061, A002378, A000578, A007531.

Sequence in context: A244724 A132948 A102569 * A255003 A244732 A338254

Adjacent sequences: A203551 A203552 A203553 * A203555 A203556 A203557

Keyword

nonn

Author

Philippe Deléham, Jan 02 2012

Status

approved