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

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, 22, 24, 26, 28, 31, 33, 35, 37, 39, 41, 30, 32, 34, 36, 38, 40, 43, 45, 47, 49, 51, 53, 55, 42, 44, 46, 48, 50, 52, 54, 57, 59, 61, 63, 65, 67, 69, 71, 56, 58, 60, 62, 64, 66, 68, 70

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). Row sums are the cubes (A000578) interspersed with A007531.

Links

Table of n, a(n) for n=0..71.

Formula

a(n)= Lodumo_2(A118175(n)).

Example

Triangle begins :
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, 22, 24, 26, 28
31, 33, 35, 37, 39, 41
30, 32, 34, 36, 38, 40
43, 45, 47, 49, 51, 53, 55
42, 44, 46, 48, 50, 52, 54
57, 59, 61, 63, 65, 67, 69, 71
56, 58, 60, 62, 64, 66, 68, 70
73, 75, 77, 79, 81, 83, 85, 87, 89
72, 74, 76, 78, 80, 82, 84, 86, 88 ...
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 ; ...

Crossrefs

Cf. A118175, A159970, A203554.

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

Sequence in context: A065186 A210521 A219249 * A081964 A082817 A084753

Adjacent sequences: A203550 A203551 A203552 * A203554 A203555 A203556

Keyword

nonn

Author

Philippe Deléham, Jan 02 2012

Status

approved