A338453 Starts of runs of 3 consecutive numbers with the same total binary weight of their divisors (A093653).

3, 242, 243, 1837, 2361, 3693, 3728, 6061, 6457, 9782, 11181, 11721, 13855, 15177, 20017, 22591, 28021, 31461, 31887, 33098, 33993, 38137, 52016, 52112, 60321, 76897, 78542, 78745, 80461, 108394, 116017, 119541, 124453, 125493, 127117, 127417, 145369, 151805, 154113

Offset: 1

Author

Amiram Eldar, Oct 28 2020

Keywords

• nonn
• base

Comments

Numbers k such that A093653(k) = A093653(k+1) = A093653(k+2).

Examples

			3 is a term since A093653(3) = A093653(4) = A093653(5) = 3.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A093653.

Subsequence of A338452.

Similar sequences: A005238, A006073, A045939.

Programs

Mathematica

f[n_] := DivisorSum[n, DigitCount[#, 2, 1] &]; s = {}; m = 3; fs = f /@ Range[m]; Do[If[Equal @@  fs, AppendTo[s, n - m]]; fs = Rest @ AppendTo[fs, f[n]], {n, m + 1, 155000}]; s
SequencePosition[Table[Total[DigitCount[Divisors[n],2,1]],{n,160000}],{x_,x_,x_}][[All,1]] (* Harvey P. Dale, Feb 04 2023 *)