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

1,2

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.

Links

Table of n, a(n) for n=1..58.

Formula

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

Example

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.

Sequence in context: A269729 A098115 A182833 * A082673 A080724 A342780

Adjacent sequences: A182829 A182830 A182831 * A182833 A182834 A182835

Keyword

nonn,tabl

Author

Clark Kimberling, Dec 07 2010

Status

approved