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A212441
Numbers with odd curling numbers of their binary representations, cf. A181935.
4
0, 1, 2, 5, 6, 7, 8, 9, 13, 14, 17, 18, 22, 23, 24, 25, 29, 30, 31, 32, 33, 34, 38, 39, 40, 41, 42, 46, 49, 50, 55, 56, 57, 61, 62, 65, 66, 70, 71, 72, 77, 78, 81, 85, 86, 87, 88, 89, 93, 94, 95, 96, 97, 98, 102, 103, 104, 105, 106, 110, 113, 114, 119, 120
OFFSET
1,3
FORMULA
A212412(a(n)) = 1.
MATHEMATICA
f[n_, e_] := Module[{d = IntegerDigits[n, 2^e]}, Length[Split[d][[-1]]] - If[SameQ @@ d && Mod[n, 2^e] < 2^(e - 1), 1, 0]]; q[n_] := OddQ[Max[Table[f[n, e], {e, Range[Max[1, Floor[Log2[n]]]]}]]]; q[0] = True; Select[Range[0, 120], q] (* Amiram Eldar, Apr 08 2025 *)
PROG
(Haskell)
a212441 n = a212441_list !! (n-1)
a212441_list = filter (odd . a181935) [0..]
CROSSREFS
Complement of A212440.
Sequence in context: A111175 A047326 A039044 * A182783 A084852 A288659
KEYWORD
nonn,base
AUTHOR
Reinhard Zumkeller, May 17 2012
STATUS
approved