OFFSET
1,2
COMMENTS
Every positive integer occurs exactly once and each pair of rows are interspersed after initial terms.
REFERENCES
Clark Kimberling, Interspersions and fractal sequences associated with fractions (c^j)/(d^k), Journal of Integer Sequences 10 (2007, Article 07.5.1) 1-8.
LINKS
C. Kimberling, Interspersions and Dispersions.
FORMULA
Row 1: t(1,h)=2^(h-1), h=1,2,3,... Row 2: t(2,h)=Floor[r*2^(h-1)], r=(2^5)/(3^2), where 3=Floor[r] is least positive integer (LPI) not in row 1. Row 3: t(3,h)=Floor[r*2^(h-1)], r=(2^4)/(3^1), where 5=Floor[r] is the LPI not in rows 1 and 2. Row m: t(m,h)=Floor[r*2^(h-1)], where r=(2^j)/(3^k), where k is the LPI for which there is an integer j for which the LPI not in rows 1,2,...,m-1 is Floor[r].
EXAMPLE
Northwest corner:
1 2 4 8 16 32 64
3 7 14 28 56 113 227
5 10 21 42 85 170 341
6 12 25 50 101 202 404
9 18 37 75 151 303 606
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Nov 21 2006
STATUS
approved