A182802 Joint-rank array of the numbers j*(1+tau)^2*(i-1), where tau = golden ratio = (1+sqrt(5))/2, i>=1, read by antidiagonals.

1, 2, 3, 4, 7, 9, 5, 11, 20, 26, 6, 15, 31, 55, 72, 8, 19, 42, 84, 148, 194, 10, 23, 53, 113, 224, 393, 515, 12, 28, 64, 142, 300, 592, 1036, 1357, 13, 32, 75, 171, 376, 791, 1557, 2721, 3563, 14, 36, 86, 200, 452, 990, 2078, 4085, 7134, 9340

Offset: 1

Author

Clark Kimberling, Dec 05 2010

Keywords

• nonn
• tabl

Comments

Joint-rank arrays are defined in the first comment at A182801. There r=tau; here r=1+tau=(tau)^2.

(Column 1)=A054963. Every positive integer occurs exactly once, so that as a sequence, A182802 is a permutation of the positive integers.

Examples

			Northwest corner:
1....2....4....5....6...
3....7...11...15...19...
9...20...31...42...53...
26..55...84..113..142...
		

Crossrefs

Cf. A182801.

Formula

T(i,j)=SUM{floor(j*(tau)^(2*(i-n))): n>=1}.