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

1,2

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.

Links

Table of n, a(n) for n=1..55.

Formula

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

Example

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.

Sequence in context: A159554 A256606 A101128 * A172024 A285500 A119345

Adjacent sequences: A182799 A182800 A182801 * A182803 A182804 A182805

Keyword

nonn,tabl

Author

Clark Kimberling, Dec 05 2010

Status

approved