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 A259528 n-th number with exactly n n's in base 10. 0
 1, 122, 2333, 34444, 455555, 5666666, 67777777, 788888888, 8999999999, 101010101010101010010, 11111111110111111111111, 1212121121212121212121212, 131313013131313131313131313, 14141241414141414141414141414 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Main diagonal M[n,n,n] of M[i,j,k] = k-th natural number such that number of i's in base 10 is j, for i,j,k = 1,2,3,4,5,.... M[1,1,n] = A043493 Numbers that contain a single 1. M[2,2,n] = A043498 Numbers n such that number of 2's in base 10 is 2. M[3,3,n] = A043503 Numbers n such that number of 3's in base 10 is 3. M[4,4,n] = A043508 Numbers n such that number of 4's in base 10 is 4. LINKS EXAMPLE First element is 1, the 1st natural number with exactly one 1 in base 10. Second element is 122, the 2nd natural number with exactly two 2's in base 10. Third element is 2333, the 3rd natural number with exactly three 3's in base 10. PROG (PARI) a(n)=my(v=List(), k=10^#Str(n), d=List(digits((k^n-1)/(k-1)*n)), t); for(i=1, #d+1, t=d; listinsert(t, 0, i); t=Vec(t); for(j=0, 9, t[i]=j; listput(v, fromdigits(t)))); Set(v)[n] \\ Charles R Greathouse IV, Jun 29 2015 CROSSREFS Cf. A043493, A043498, A043503, A043508. Sequence in context: A222991 A208049 A276252 * A192870 A208432 A275356 Adjacent sequences:  A259525 A259526 A259527 * A259529 A259530 A259531 KEYWORD nonn,base,easy AUTHOR Jonathan Vos Post, Jun 29 2015 EXTENSIONS a(5)-a(14) from Charles R Greathouse IV, Jun 29 2015 STATUS approved

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Last modified October 23 19:26 EDT 2021. Contains 348215 sequences. (Running on oeis4.)