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

0,2

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

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 *)

Prog

(PARI) See Links section.

Crossrefs

Cf. A357082.

Sequence in context: A352499 A110010 A091987 * A025544 A327706 A121856

Adjacent sequences: A357146 A357147 A357148 * A357150 A357151 A357152

Keyword

nonn

Author

Michael De Vlieger, Sep 15 2022

Status

approved