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 A052413 Numbers without 5 as a digit. 17
 0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 M. F. Hasler, Numbers avoiding certain digits, OEIS wiki, Jan 12 2020 FORMULA a(n) = replace digits d > 4 by d + 1 in base-9 representation of n - 1. - Reinhard Zumkeller, Oct 07 2014 Sum_{k>1} 1/a(n) = A082834 = 21.8346008... (Kempner series). - Bernard Schott, Jan 12 2020, edited by M. F. Hasler, Jan 13 2020 MAPLE a:= proc(n) local l, m; l, m:= 0, n-1;       while m>0 do l:= (d->         `if`(d<5, 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 Select[Range[100], !MemberQ[IntegerDigits[#], 5]&] (* Harvey P. Dale, Feb 20 2013 *) PROG (MAGMA) [ n: n in [0..89] | not 5 in Intseq(n) ]; // Bruno Berselli, May 28 2011 (sh) seq 0 1000 | grep -v 5; # Joerg Arndt, May 29 2011 (Haskell) a052413 = f . subtract 1 where f 0 = 0 f v = 10 * f w + if r > 4 then r + 1 else r where (w, r) = divMod v 9 -- Reinhard Zumkeller, Oct 07 2014 (PARI) apply( {A052413(n)=fromdigits(apply(d->d+(d>4), digits(n-1, 9)))}, [1..99]) \\ a(n) select( {is_A052413(n)=!setsearch(Set(digits(n)), 5)}, [0..99]) \\ used in A038613 next_A052413(n, d=digits(n+=1))={for(i=1, #d, d[i]==5&&return((1+n\d=10^(#d-i))*d)); n} \\ least a(k) > n; used in A038613. - M. F. Hasler, Jan 11 2020 (Python) # see the OEIS wiki page (cf. LINKS) for more programs def A052413(n): n-=1; return sum(n//9**e%9*6//5*10**e for e in range(math.ceil(math.log(n+1, 9)))) # M. F. Hasler, Jan 13 2020 CROSSREFS Cf. A004180, A004724, A038613 (subset of primes), A082834 (Kempner series). Cf. A052382 (without 0), A052383 (without 1), A052404 (without 2), A052405 (without 3), A052406 (without 4), A052414 (without 6), A052419 (without 7), A052421 (without 8), A007095 (without 9). Sequence in context: A340288 A132329 A230313 * A276389 A302058 A183302 Adjacent sequences:  A052410 A052411 A052412 * A052414 A052415 A052416 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 April 17 01:47 EDT 2021. Contains 343051 sequences. (Running on oeis4.)