Search: id:A125152 Results 1-1 of 1 results found. %I A125152 %S A125152 1,3,2,9,6,4,27,20,13,5,81,60,40,15,7,243,182,121,45,22,8,729,546,364, %T A125152 136,68,25,10,2187,1640,1093,410,205,76,30,11,6561,4920,3280,1230,615, %U A125152 230,91,34,12,19683,14762,9841,3690,1845,691,273,102,38,14 %N A125152 The interspersion T(3,2,0), by antidiagonals. %C A125152 Every positive integer occurs exactly once and each pair of rows are interspersed after initial terms. %D A125152 C. Kimberling, "Interspersions and fractal sequences associated with fractions (c^j)/(d^k)," preprint, 2006. %H A125152 C. Kimberling, Interspersions and Dispersions. %F A125152 Row 1: t(1,h)=Floor[r*3^(h-1)], where r=(3^0)/(2^0), 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=(3^2)/(2^1), where 4=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 >=0 for which there is an integer j for which the LPI not in rows 1,2,...,m-1 is Floor[r]. %e A125152 Northwest corner: %e A125152 1 3 9 27 81 243 729 %e A125152 2 6 20 60 182 546 1640 %e A125152 4 13 40 121 364 1093 3280 %e A125152 5 15 45 136 410 1230 3690 %e A125152 7 22 68 205 615 1845 5535 %Y A125152 Cf. A125156, A125160. %Y A125152 Sequence in context: A033313 A140590 A164279 this_sequence A082819 A078478 A019778 %Y A125152 Adjacent sequences: A125149 A125150 A125151 this_sequence A125153 A125154 A125155 %K A125152 nonn,tabl %O A125152 1,2 %A A125152 Clark Kimberling (ck6(AT)evansville.edu), Nov 21 2006, corrected Nov 24 2006 Search completed in 0.001 seconds