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)=Floor[r*3^(h-1)], where r=(3^1)/(2^1), h=1,2,3,... Row 2: t(2,h)=Floor[r*3^(h-1)], r=(3^2)/(2^2), where 2=Floor[r] is least positive integer (LPI) not in row 1. Row 3: t(3,h)=Floor[r*3^(h-1)], r=(3^3)/(2^3), where 3=Floor[r] is the LPI not in rows 1 and 2. Row m: t(m,h)=Floor[r*3^(h-1)], where r=(3^j)/(2^k), where k is the least integer >=1 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 4 13 40 121 364 1093
2 6 20 60 182 546 1640
3 10 30 91 273 820 2460
5 15 45 136 410 1230 3690
7 22 68 205 615 1845 5535
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Nov 21 2006
STATUS
approved