A097347 Rectangular array, by antidiagonals: T(n,k) = rank of k-th n in A097291.

1, 2, 3, 5, 4, 6, 10, 8, 7, 11, 17, 13, 9, 12, 18, 26, 20, 15, 14, 19, 27, 37, 29, 22, 16, 21, 28, 38, 50, 40, 31, 24, 23, 30, 39, 51, 65, 53, 42, 33, 25, 32, 41, 52, 66, 82, 68, 55, 44, 35, 34, 43, 54, 67, 83, 101, 85, 70, 57, 46, 36, 45, 56, 69, 84, 102, 122, 104, 87, 72, 59

Offset

1,2

Comments

As a sequence, this is a permutation of the natural numbers. Row 1 is A002522 (n^2 + 1); main diagonal is A000290 (n^2); column 1 is A010000 (n^2 + 2).

Links

Table of n, a(n) for n=1..71.

Example

Northwest corner:
1 2 5 10
3 4 8 13
6 7 9 15
11 12 14 16

Crossrefs

Cf. A097291, A097292.

Sequence in context: A362889 A374379 A374404 * A356867 A365390 A376686

Adjacent sequences: A097344 A097345 A097346 * A097348 A097349 A097350

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 06 2004

Status

approved