A389569 Indices of records in A034058.

0, 1, 3, 6, 10, 11, 13, 102, 103, 106, 110, 116, 124, 156, 187, 206, 225, 246, 261, 999, 1003, 1004, 1018, 1023, 1027, 1108, 5832, 9999, 10001, 10021, 10110, 10136, 11103, 93330, 99998, 99999, 100082, 100259, 101713, 102407, 115946, 121525, 192977, 228071, 999997, 999998, 999999, 1071435, 1091270

Offset

1,3

Comments

Numbers k such that A034058(j) < A034058(k) for all j < k.

Links

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

Formula

A034058(a(n)) = A389568(n).

Example

a(4) = 6 because A034058(6) = 18 and A034058(j) < 18 for 0 <= j <= 5.

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:= 0: m:= 9: count:= 1:
for i from 1 while count < 50 do
  v:= f(i);
  if v > m then V:= V, i; m:= v; count:= count+1; fi
od:
V;

Crossrefs

Cf. A034058, A389568.

Sequence in context: A241858 A231668 A123053 * A221129 A138289 A219638

Adjacent sequences: A389566 A389567 A389568 * A389570 A389571 A389572

Keyword

nonn,base

Author

Robert Israel, Nov 05 2025

Status

approved