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 A111065 Numbers that look the same when rotated by 180°, using only digits 0, 6 and 9. 5
 0, 69, 96, 609, 906, 6009, 6699, 6969, 9006, 9696, 9966, 60009, 66099, 69069, 90006, 96096, 99066, 600009, 606909, 609609, 660099, 666999, 669699, 690069, 696969, 699669, 900006, 906906, 909606, 960096, 966996, 969696, 990066, 996966, 999666 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Strobogrammatic numbers (A000787) without digits 1 or 8. Apparently this sequence and A006072 have the same parity. - Jeremy Gardiner, Oct 15 2005 There are no primes in this sequence because all terms are divisible by 3. M. F. Hasler, May 04 2012 LINKS MATHEMATICA fQ[n_] := Block[{s = {0, 6, 9}, id = IntegerDigits[n]}, If[ Union[ Join[s, id]] == s && (id /. {6 -> 9, 9 -> 6}) == Reverse[id], True, False]]; Select[ Range[0, 10^6], fQ[ # ] &] (Robert G. Wilson v, Oct 11 2005) PROG {-Haskell-} main=print\$"0":concat[concat[[reverse(reverse(map f x)++z++x)|x<-y]|z<-["", "0"]]|y<-s(iterate i"6")]; f '0'='0'; f '6'='9'; f '9'='6'; i('0':x)='6':x; i('6':x)='9':x; i('9':x)='0':i x; i""="6"; s(x:y@(z:_))=let w:v=s y in if length x==length z then(x:w):v else[x]:w:v (PARI) is_A111065(n)=!setminus(Set(n=Vec(Str(n))), Vec("069")) & apply(t->Vec("096")[max(eval(t)/3, 1)], n)==vecextract(n, "-1..1")  \\ - M. F. Hasler, May 04 2012 CROSSREFS Cf. strobogrammatic numbers A000787. If 8's are included we get A111156. Sequence in context: A043257 A044037 A287092 * A227271 A004237 A004238 Adjacent sequences:  A111062 A111063 A111064 * A111066 A111067 A111068 KEYWORD base,easy,nonn AUTHOR Paul Stoeber (pstoeber(AT)uni-potsdam.de), Oct 08 2005 EXTENSIONS Offset corrected by Reinhard Zumkeller, Sep 26 2014 STATUS approved

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Last modified November 25 12:24 EST 2020. Contains 338623 sequences. (Running on oeis4.)