A389568 - OEIS

%I #11 Nov 10 2025 22:51:12

%S 9,10,13,18,30,134,231,532,1369,1370,1776,1779,2818,2837,2856,2867,

%T 2879,3544,4300,6858,8121,22189,27276,30087,51076,74676,121900,195111,

%U 217082,533416,553410,731466,1606177,1682327,2196999,6128486,6445249,7312710,7426484,10808873,11715016,18216676,22953030

%N Record values in A034058.

%C Numbers k such that for some j, A034058(j) = k and A034058(i) < k for all i < j.

%H Robert Israel, <a href="/A389568/b389568.txt">Table of n, a(n) for n = 1..63</a>

%F a(n) = A034058(A389569(n)).

%e a(4) = 18 because A034058(6) = 18 and A034058(k) < 18 for 1 <= k < 6.

%p f:= proc(n) local td,x,y,L;

%p     td:= 10^(ilog10(n)+1);

%p     for x from 1 do

%p       y:= (x+n/td)^3;

%p       L:= ceil(y);

%p       if y < L and L < (x + (n+1)/td)^3 then return(L) fi

%p     od:

%p end proc:

%p V:= 9: m:= 9: count:= 1:

%p for i from 1 while count < 50 do

%p   v:= f(i);

%p   if v > m then V:= V,v; m:= v; count:= count+1; fi

%p od:

%p V;

%Y Cf. A034058, A389569.

%K nonn,base

%O 1,1

%A _Robert Israel_, Nov 05 2025