A357149 a(n) = smallest missing number in A357082(k) for k = 0..n.

1, 2, 3, 4, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45

Offset: 0

Author

Michael De Vlieger, Sep 15 2022

Keywords

• nonn

Links

• Michael De Vlieger, Table of n, a(n) for n = 0..16384
• Michael De Vlieger, Plot of a(n), n = 1..2^10 in gold, with A357082(n) = b(n) in black, records in b(n) in red, local minima in b(n) in blue.
• Rémy Sigrist, PARI program

Crossrefs

Cf. A357082.

Programs

Mathematica

nn = 2^10; c[] = False; j = a[0] = 0; u = 1; w = "0"; Do[k = u; While[Or[c[k], StringContainsQ[w, Set[v, IntegerString[j + k, 2]]]], k++]; Set[{a[n], c[k], b[n]}, {k, True, u}]; Set[{j, w}, {k, w <> IntegerString[k, 2]}]; If[k == u, While[c[u], u++]], {n, nn}]; Array[b, nn] (* _Michael De Vlieger, Sep 15 2022 *)

PARI

See Links section.