A241913 Complement of A241912, natural numbers not fixed by A241916.

6, 9, 10, 12, 14, 20, 21, 22, 24, 25, 26, 27, 28, 30, 33, 34, 35, 36, 38, 39, 40, 42, 44, 46, 48, 49, 51, 52, 54, 56, 57, 58, 60, 62, 63, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 99, 100, 102, 104, 106, 110, 111

Offset

1,1

Comments

Terms that occur in 2-cycles of permutation A241916. (E.g., A241916(6)=9, A241916(9)=6.)

Apart from its initial terms, 1 and 2, all the terms of A088902 occur here because A241909 has no other fixed points than 1 and 2.

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Mathematica

f[n_] := If[n == 1, {0}, Function[f, ReplacePart[Table[0, {PrimePi[f[[-1, 1]]]}], #] &@ Map[PrimePi@ First@ # -> Last@ # &, f]]@ FactorInteger@ n]; g[w_List] := Times @@ Flatten@ MapIndexed[Prime[#2]^#1 &, w]; Complement[Range@ Max@ #, Table[#[[n + 1]]/2, {n, Length@ # - 1}]] &@ Select[Range@ 120, g@ f@ # == g@ Reverse@ f@ # &] (* Michael De Vlieger, Aug 27 2016 *)

Prog

(Scheme, with Antti Karttunen's IntSeq-library)
(define A241913 (COMPLEMENT 1 A241912))

Crossrefs

Complement of A241912.

A subsequence apart from its two initial terms: A088902.

Cf. A241916.

Sequence in context: A325229 A036347 A129492 * A053869 A085275 A177201

Adjacent sequences: A241910 A241911 A241912 * A241914 A241915 A241916

Keyword

nonn

Author

Antti Karttunen, May 03 2014

Status

approved