# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a182802 Showing 1-1 of 1 %I A182802 #10 Mar 30 2012 18:57:12 %S A182802 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, %T A182802 224,393,515,12,28,64,142,300,592,1036,1357,13,32,75,171,376,791,1557, %U A182802 2721,3563,14,36,86,200,452,990,2078,4085,7134,9340 %N 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. %C A182802 Joint-rank arrays are defined in the first comment at A182801. There r=tau; here r=1+tau=(tau)^2. %C A182802 (Column 1)=A054963. Every positive integer occurs exactly once, so that as a sequence, A182802 is a permutation of the positive integers. %F A182802 T(i,j)=SUM{floor(j*(tau)^(2*(i-n))): n>=1}. %e A182802 Northwest corner: %e A182802 1....2....4....5....6... %e A182802 3....7...11...15...19... %e A182802 9...20...31...42...53... %e A182802 26..55...84..113..142... %Y A182802 Cf. A182801. %K A182802 nonn,tabl %O A182802 1,2 %A A182802 _Clark Kimberling_, Dec 05 2010 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE