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 A052404 Numbers without 2 as a digit. 12
 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS "Bantu numbers". - Michael Joseph Halm, Aug 13 2002 REFERENCES M. J. Halm, Word Weirdness, Mpossibilities 66 (Feb. 1998), p. 5. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 M. J. Halm, Games FORMULA If the offset were changed to 0: a(0) = 0, a(n+1) = f(a(n)+1,f(a(n)+1) where f(x,y) = if x<10 and x<>2 then y else if x mod 10 = 2 then f(y+1,y+1) else f(floor(x/10),y). - Reinhard Zumkeller, Mar 02 2008 a(n) = replace digits d > 1 by d + 1 in base-9 representation of n - 1. - Reinhard Zumkeller, Oct 07 2014 MAPLE a:= proc(n) local l, m; l, m:= 0, n-1;       while m>0 do l:= (d->         `if`(d<2, d, d+1))(irem(m, 9, 'm')), l       od; parse(cat(l))/10     end: seq(a(n), n=1..100);  # Alois P. Heinz, Aug 01 2016 MATHEMATICA ban2Q[n_]:=FreeQ[IntegerDigits[n], 2]==True; Select[Range[0, 89], ban2Q[#] &] (* Jayanta Basu, May 17 2013 *) Select[Range[0, 100], DigitCount[#, 10, 2]==0&] (* Harvey P. Dale, Apr 13 2015 *) PROG (MAGMA) [ n: n in [0..89] | not 2 in Intseq(n) ];  // Bruno Berselli, May 28 2011 (sh) seq 0 1000 | grep -v 2; # Joerg Arndt, May 29 2011 (Haskell) a052404 = f . subtract 1 where    f 0 = 0    f v = 10 * f w + if r > 1 then r + 1 else r  where (w, r) = divMod v 9 -- Reinhard Zumkeller, Oct 07 2014 (PARI) lista(nn, d=2) = {for (n=0, nn, if (!vecsearch(vecsort(digits(n), , 8), d), print1(n, ", ")); ); } \\ Michel Marcus, Feb 21 2015 CROSSREFS Cf. A004177, A004721, A072809. Cf. A052382 (without 0), A052383 (without 1), A052405 (without 3), A052406 (without 4), A052413 (without 5), A052414 (without 6), A052419 (without 7), A052421 (without 8), A007095 (without 9). Sequence in context: A026511 A321153 A304814 * A298112 A026417 A026421 Adjacent sequences:  A052401 A052402 A052403 * A052405 A052406 A052407 KEYWORD base,easy,nonn AUTHOR Henry Bottomley, Mar 13 2000 EXTENSIONS Offset changed by Reinhard Zumkeller, Oct 07 2014 STATUS approved

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Last modified November 16 02:33 EST 2018. Contains 317252 sequences. (Running on oeis4.)