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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. 2
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 (list; table; graph; refs; listen; history; text; internal format)
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: A225211 A159554 A101128 * A172024 A119345 A086391

Adjacent sequences:  A182799 A182800 A182801 * A182803 A182804 A182805

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Dec 05 2010

STATUS

approved

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Last modified November 27 07:52 EST 2014. Contains 250155 sequences.