A134562 Array T by antidiagonals: T(n,k) = k-th number whose formal base-3 representation has exactly n terms. ("Formal" means that all the nonzero coefficients are 1's.).

1, 3, 2, 9, 4, 5, 27, 6, 7, 8, 81, 10, 11, 14, 17, 243, 12, 13, 16, 23, 26, 729, 18, 15, 20, 25, 44, 53, 2187, 28, 19, 22, 35, 50, 71

Offset: 1

Author

Clark Kimberling, Nov 01 2007

Keywords

• nonn
• tabl

Comments

A permutation of the natural numbers. Except for initial terms in some cases, (Row 1) = A000244, (Row 2) = A055235, (Col 1) = A062318. For the analogous base-2 array, see A067576.

Examples

			11 = 9 + 1 + 1 is the 3rd largest number (after 5 and 7) that has
a 3-term formal base-3 representation.
Northwest corner:
1 3 9 27 81
2 4 6 10 12
5 7 11 13 15
8 14 16 20 22
		

Crossrefs

Cf. A067576, A000244, A055235, A062318.