A364573 - OEIS

%I #13 Aug 06 2023 18:56:47

%S 9,35,267,8353,16475,16543,132175,262563,295175,1115151,2098057,

%T 2109697,8651313,537938015,1073787425

%N Starting from k=9, each subsequent term is the next larger odd k such that A005940(k) <= k and the ratio A005940(k)/k is nearer to 1.0 than for any previous k in the sequence.

%e            k     A005940(k)  A005940(k)/k  k-A005940(k)

%e            9             7    0.7777778          2

%e           35            33    0.9428571          2

%e          267           255    0.9550562         12

%e         8353          8177    0.9789297        176

%e        16475         16275    0.9878604        200

%e        16543         16443    0.9939551        100

%e       132175        131733    0.9966560        442

%e       262563        262119    0.9983090        444

%e       295175        294831    0.9988346        344

%e      1115151       1114749    0.9996395        402

%e      2098057       2097851    0.9999018        206

%e      2109697       2109629    0.9999678         68

%e      8651313       8651137    0.9999797        176

%e    537938015     537931935    0.9999887       6080

%e   1073787425    1073785843    0.9999985       1582.

%o (PARI) print1(9,", "); r = A005940(9)/9; forstep(n=9,1+(2^31),2,t=A005940(n)/n; if(t<=1 && t > r, r=t;print1(n, ", ")))

%Y Cf. A005940, A364563, A364572, A364576.

%K nonn,more

%O 1,1

%A _Antti Karttunen_, Aug 06 2023