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A390509
Indices k such that (number of 0's) = (number of 1's) in the NA-run 01-word indexed by a(k) in A390508(k).
1
1, 18, 27, 30, 31, 32, 35, 37, 43, 46, 47, 61, 63, 65, 79, 93, 306, 450, 459, 462, 498, 523, 526, 530, 535, 536, 538, 539, 542, 559, 571, 578, 587, 590, 607, 608, 611, 613, 619, 622, 623, 631, 632, 634, 635, 706, 715, 718, 754, 779, 782, 815, 827, 899, 901
OFFSET
1,2
EXAMPLE
a(18) = 010110, in which there are 3 0's and 3 1's, so 18 is in the list.
MATHEMATICA
g[w_] := StringJoin[Map[ToString[#[[1]]] <> IntegerString[Length[#], 2] &, Split[Characters[w]]]];
s[n_] := Map[StringJoin[Map[ToString, Rest[IntegerDigits[#, 2]]]] &, Range[2, 2^(n + 1) - 1]];
m = Map[g, s[11]];
m1 = ToExpression /@ Characters /@ m;
Select[Range[Length[m1]], Count[m1[[#]], 0] == Count[m1[[#]], 1] &]
(* Peter J. C. Moses, Nov 05 2025 *)
CROSSREFS
Cf. A390508.
Sequence in context: A338385 A220100 A080910 * A347826 A036763 A226971
KEYWORD
nonn
AUTHOR
Clark Kimberling, Dec 08 2025
STATUS
approved