A082156 Dispersion of the complement of row 1 of A056536.

1, 4, 2, 9, 6, 3, 16, 12, 8, 5, 25, 20, 15, 11, 7, 36, 30, 24, 19, 14, 10, 49, 42, 35, 29, 23, 18, 13, 64, 56, 48, 41, 34, 28, 22, 17, 81, 72, 63, 55, 47, 40, 33, 27, 21, 100, 90, 80, 71, 62, 54, 46, 39, 32, 26, 121, 110, 99, 89, 79, 70, 61, 53, 45, 38, 31, 144, 132, 120, 109

Offset

1,2

Comments

Rectangular array read by antidiagonals; a permutation of the natural numbers. (Row 1) = squares = A000290(n) = n^2. (Dispersion of complement of column 1 of A082156) = (Transpose of A056537). The associated fractal sequence is A122196.

Links

Table of n, a(n) for n=1..70.

C. Kimberling, Interspersions and Dispersions.

C. Kimberling, Interspersions and dispersions, Proceedings of the American Mathematical Society, 117 (1993) 313-321.

Clark Kimberling and John E. Brown, Partial Complements and Transposable Dispersions, J. Integer Seqs., Vol. 7, 2004.

Formula

The transpose of A056536.

Example

Northwest corner:
1 4 9 16 25
2 6 12 20 30
3 8 15 24 35
5 11 19 29 41
7 14 23 34 47

Crossrefs

Cf. A056536, A000290.

Sequence in context: A213778 A095833 A163990 * A283941 A285090 A114577

Adjacent sequences: A082153 A082154 A082155 * A082157 A082158 A082159

Keyword

nonn,tabl

Author

Clark Kimberling, Apr 05 2003

Status

approved