A389568 Record values in A034058.

9, 10, 13, 18, 30, 134, 231, 532, 1369, 1370, 1776, 1779, 2818, 2837, 2856, 2867, 2879, 3544, 4300, 6858, 8121, 22189, 27276, 30087, 51076, 74676, 121900, 195111, 217082, 533416, 553410, 731466, 1606177, 1682327, 2196999, 6128486, 6445249, 7312710, 7426484, 10808873, 11715016, 18216676, 22953030

Offset

1,1

Comments

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

Links

Robert Israel, Table of n, a(n) for n = 1..63

Formula

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

Example

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

Maple

f:= proc(n) local td, x, y, L;
    td:= 10^(ilog10(n)+1);
    for x from 1 do
      y:= (x+n/td)^3;
      L:= ceil(y);
      if y < L and L < (x + (n+1)/td)^3 then return(L) fi
    od:
end proc:
V:= 9: m:= 9: count:= 1:
for i from 1 while count < 50 do
  v:= f(i);
  if v > m then V:= V, v; m:= v; count:= count+1; fi
od:
V;

Crossrefs

Cf. A034058, A389569.

Sequence in context: A249723 A050593 A189834 * A248350 A247512 A110095

Adjacent sequences: A389565 A389566 A389567 * A389569 A389570 A389571

Keyword

nonn,base

Author

Robert Israel, Nov 05 2025

Status

approved