A182832 Joint-rank array of numbers j*r^(i-1), where r=1+sqrt(3), read by antidiagonals.

1, 2, 3, 4, 7, 10, 5, 12, 21, 30, 6, 15, 34, 61, 85, 8, 19, 44, 95, 172, 237, 9, 24, 56, 125, 262, 476, 652, 11, 28, 68, 157, 347, 718, 1307, 1788, 13, 32, 80, 190, 435, 955, 1965, 3579, 4891, 14, 37, 91, 222, 524, 1196, 2618, 5373, 9786, 13371, 16, 41, 104

Offset: 1

Author

Clark Kimberling, Dec 07 2010

Keywords

• nonn
• tabl

Comments

Joint-rank arrays are defined in the first comment at A182801. Every positive integer occurs exactly once, so that as a sequence A182832 is a permutation of the positive integers.

Examples

			Northwest corner:
1....2....4....5....6...
3....7...12...15...19...
10..21...34...44...56...
30..61...95..125..157...
		

Crossrefs

Cf. A182801.

Formula

T(i,j)=SUM{floor(j*(1+sqrt(3))^(i-n)): n>=1}.