A230498 a(n) is the minimal odd odious k>1, such that k^i, i=2,...,n, all are evil, and a(n)=0, if there is no such k.

13, 21, 21, 47, 265, 607, 883, 883, 883, 883, 10865, 10865, 58241, 58241, 58241, 75781, 367815, 766165, 2931371, 5288671, 5288671, 14838843, 14838843, 14838843, 33417397, 737812313, 2774333869, 3513898753, 3513898753, 3513898753, 14369883465, 14369883465, 22865025261

Offset

2,1

Comments

A conjugate sequence to A230495 and A230496.

Conjecture: For all n, a(n) > 0.

Links

Amiram Eldar, Table of n, a(n) for n = 2..39

Mathematica

evQ[n_] := EvenQ[DigitCount[n, 2, 1]]; evExp[n_] := Module[{e = 1, p = n^2}, If[! evQ[n], While[evQ[p], p *= n; e++]]; e]; seq[nmax_] := Module[{e, emax = 1, n = 3, s = {}}, Do[e = evExp[n]; If[e > emax, s = Join[s, ConstantArray[n, e - emax]]; emax = e], {n, 3, nmax, 2}]; s]; seq[11000] (* Amiram Eldar, Aug 03 2023 *)

Crossrefs

Cf. A000069, A001969, A230494, A230495, A230496, A230497.

Sequence in context: A066515 A166656 A346401 * A260747 A032693 A049745

Adjacent sequences: A230495 A230496 A230497 * A230499 A230500 A230501

Keyword

nonn,base

Author

Vladimir Shevelev and Peter J. C. Moses, Oct 21 2013

Extensions

a(27)-a(34) from Amiram Eldar, Aug 03 2023

Status

approved