A132284 Interspersion associated with A132283, by antidiagonals.

1, 2, 3, 4, 6, 5, 7, 9, 8, 10, 11, 14, 12, 15, 13, 16, 20, 18, 21, 19, 17, 22, 26, 24, 28, 25, 23, 27, 29, 34, 31, 36, 33, 30, 35, 32, 37, 42, 39, 44, 41, 38, 43, 40, 45

Offset

1,2

Comments

The n-th diagonal is a permutation of n consecutive integers. Every positive integer occurs exactly once, so that as a sequence, A132284 is a permutation of the positive integers.

References

C. Kimberling, Proper self-containing sequences, fractal sequences and para-sequences, preprint, 2007.

Links

Table of n, a(n) for n=1..45.

Clark Kimberling, Self-Containing Sequences, Selection Functions, and Parasequences, J. Int. Seq. Vol. 25 (2022), Article 22.2.1.

Formula

T(i,j)=position in A132283 of j-th occurrence of i.

Example

Northwest corner:
1 2 4 7 11
3 6 9 14 20
5 8 12 18 24
10 15 21 28 36

Crossrefs

Cf. A132283.

Sequence in context: A361481 A275376 A342798 * A131966 A360371 A194970

Adjacent sequences: A132281 A132282 A132283 * A132285 A132286 A132287

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 16 2007

Status

approved