A094608 Rectangular array T by antidiagonals: row n consists of ranks of n in A000119.

1, 2, 4, 3, 6, 9, 5, 7, 12, 17, 8, 10, 14, 22, 25, 13, 11, 15, 27, 30, 38, 21, 16, 19, 28, 40, 43, 59, 34, 18, 20, 33, 41, 46, 67, 64, 55, 26, 23, 35, 48, 51, 77, 72, 98, 89, 29, 24, 36, 49, 61, 85, 80, 101, 106, 144, 42, 31, 44, 56, 62, 95, 93, 132, 114, 153, 233, 47, 32, 45

Offset: 1

Author

Clark Kimberling, May 14 2004

Keywords

• nonn
• tabl

Comments

Every positive integer occurs exactly once in T; thus a is a permutation of the positive integers. Row 1 consists of Fibonacci numbers. To obtain T from the array T' in A094607, add 1 to every number in T', then shift row 1 one place to the right and fill the initial place with 1.

Examples

			A northwest corner of T:
1 2 3 5 8
4 6 7 10 11
9 12 14 15 19
17 22 27 28 33
		

Links

• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A000045, A000119, A094607.