A376934 - OEIS

%I #19 Nov 01 2024 23:40:30

%S 1,1,1,1,1,1,1,1,1,1,1,1,3,6,80,21896,604163887,677040508659246685,

%T 447405708743254015046365510044832005,

%U 309471557529368331206803181535934923519436869019793750609292014082198479

%N Lexicographically earliest sequence of positive integers a(1), a(2), a(3), ... such that for any n > 0, Sum_{k = 1..n} 1/(k*a(k)) < Pi.

%H Scott R. Shannon, <a href="/A376934/b376934.txt">Table of n, a(n) for n = 1..27</a>

%e a(17) = 604163887 as Sum_{k = 1..17} 1/(k*a(k)) = 1/(1*1) + 1/(2*1) + ... + 1/(16*21896) + 1/(17*604163887) = 3056398076673607759/972881723918332800, which is ~8.2*10^-20 less than Pi.

%Y Cf. A000796, A270744, A375781, A375529, A074631, A270752.

%K nonn

%O 1,13

%A _Scott R. Shannon_, Oct 11 2024