OFFSET
1,2
COMMENTS
Natural numbers n for which there does not exist any number k such that A269160(k) = n.
These are binary representations (shown in decimal) of Garden of Eden patterns in Wolfram's Rule 30 cellular automaton if infinite predecessors are forbidden.
LINKS
Antti Karttunen, Table of n, a(n) for n = 1..12285
Eric Weisstein's World of Mathematics, Rule 30
FORMULA
Other identities. For all n >= 1:
A269169(a(n)) = n.
MATHEMATICA
terms = 100; Clear[f]; f[max_] := f[max] = (s = Sort[Table[BitXor[n, BitOr[2n, 4n]], {n, 0, max}]]; Complement[Range[Last[s]], s][[1 ;; terms ]]); f[terms]; f[max = 2 terms]; While[Print[max]; f[max] != f[max/2], max = 2 max]; A269164 = f[max] (* Jean-François Alcover, Feb 23 2016 *)
PROG
(Scheme, with Antti Karttunen's IntSeq-library)
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Feb 20 2016
STATUS
approved