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 A091783 Numbers with digits in nondecreasing order such that sum of the reciprocals of the digits is 1. 0
 1, 22, 236, 244, 333, 2488, 2666, 3366, 3446, 4444, 26999, 28888, 33999, 34688, 36666, 44488, 44666, 55555, 366999, 368888, 446999, 448888, 466688, 666666, 3999999, 4688999, 4888888, 6666999, 6668888, 7777777, 66999999, 68888999, 88888888, 999999999 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 236 is a member but 263, 326, 362, 623, 632 which are digit permutations of 236 are not included (unlike A037268). By definition, this is a subsequence of A052382 (zeroless numbers). - Michel Marcus, Jul 06 2015 LINKS Table of n, a(n) for n=1..34. EXAMPLE 236 is a member as 1/2 + 1/3 + 1/6 = 1. MAPLE F:= proc(t, ns) option remember; local n0, k, r; if ns = [] then if t = 0 then return {[]} else return {} fi; fi; n0:= ns[1]; `union`(seq(map(r -> [k, op(r)], procname(t - k/n0, ns[2..-1])), k=0..floor(t*n0))); end proc: g:= proc(t) local L, i; L:= [seq(i\$t[i], i=1..9)]; add(L[i]*10^(nops(L)-i), i=1..nops(L)) end proc: sort(convert(map(g, F(1, [\$1..9])), list)); # Robert Israel, Jul 06 2015 PROG (PARI) lista(nn) = {for (n=1, nn, d = digits(n); if (vecmin(d) && (vecsort(d)==d) && (sum(k=1, #d, 1/d[k])==1), print1(n, ", ")); ); } \\ Michel Marcus, Jul 06 2015 CROSSREFS Cf. A037268, A052382. Sequence in context: A082205 A003205 A037268 * A213072 A159649 A046499 Adjacent sequences: A091780 A091781 A091782 * A091784 A091785 A091786 KEYWORD base,fini,nonn,full AUTHOR Amarnath Murthy, Feb 17 2004 EXTENSIONS More terms from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Apr 17 2004 Incorrect term 39999 corrected to 33999 by Thomas Oléron Evans, Jul 06 2015 STATUS approved

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Last modified July 18 06:54 EDT 2024. Contains 374377 sequences. (Running on oeis4.)