A356294 a(n) = A054633(n) if A030190(n) = 1, else a(n) = a(n-A054633(n)+1).

1, 2, 1, 3, 4, 5, 2, 1, 6, 3, 7, 8, 9, 4, 10, 11, 12, 13, 5, 2, 1, 14, 6, 3, 15, 16, 7, 17, 8, 18, 9, 19, 20, 21, 22, 4, 10, 23, 24, 11, 25, 26, 27, 28, 12, 29, 30, 31, 32, 33, 13, 5, 2, 1, 34, 14, 6, 3, 35, 36, 15, 16, 37, 7, 38, 17, 8, 39, 40, 41, 18, 42, 9

Offset: 1

Author

Michael De Vlieger and David James Sycamore, Aug 03 2022

Keywords

• nonn
• easy
• base
• look

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..11164
• Michael De Vlieger, Log-log scatterplot of a(n), n = 1..2^20, with a color function representing the number k of appearances of m in a(n), where red represents the first appearance of m, and magenta the maximum number of appearances of m in a(1..2^20).

Crossrefs

Cf. A030190, A054633.

Programs

Mathematica

nn = 120; c =  k = 1; Do[Do[Set[b[k], #[[j]]]; If[b[k] == 1, Set[a[k], c]; c++, Set[a[k], a[k - c + 1]]]; k++, {j, Length[#]}] &@ IntegerDigits[n, 2], {n, nn}]; Array[a[#] &, k - 1] (* Michael De Vlieger, Aug 03 2022 *)