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A259528 n-th number with exactly n n's in base 10.

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%I A259528 #7 Jul 18 2015 21:55:51
%S A259528 1,122,2333,34444,455555,5666666,67777777,788888888,8999999999,
%T A259528 101010101010101010010,11111111110111111111111,
%U A259528 1212121121212121212121212,131313013131313131313131313,14141241414141414141414141414
%N A259528 n-th number with exactly n n's in base 10.
%C A259528 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,....
%C A259528 M[1,1,n] = A043493 Numbers that contain a single 1.
%C A259528 M[2,2,n] = A043498 Numbers n such that number of 2's in base 10 is 2.
%C A259528 M[3,3,n] = A043503 Numbers n such that number of 3's in base 10 is 3.
%C A259528 M[4,4,n] = A043508 Numbers n such that number of 4's in base 10 is 4.
%e A259528 First element is 1, the 1st natural number with exactly one 1 in base 10.
%e A259528 Second element is 122, the 2nd natural number with exactly two 2's in base 10.
%e A259528 Third element is 2333, the 3rd natural number with exactly three 3's in base 10.
%o A259528 (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
%Y A259528 Cf. A043493, A043498, A043503, A043508.
%K A259528 nonn,base,easy
%O A259528 1,2
%A A259528 _Jonathan Vos Post_, Jun 29 2015
%E A259528 a(5)-a(14) from _Charles R Greathouse IV_, Jun 29 2015