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Least triangular number whose digits include a permutation of {0,1,...,n}.
0

%I #5 Mar 30 2012 18:40:29

%S 0,10,120,12403,12403,231540,1053426,10623745,120784653,1062489753

%N Least triangular number whose digits include a permutation of {0,1,...,n}.

%C Note that this is not "Least triangular number whose digits ARE a permutation of {0,1,...,n}" because there is no such value for n = 3, for instance 3321 = T(81) has no zero. Are there equivalents in all integer bases?

%e a(0) = 0 = T(0).

%e a(1) = 10 = T(4).

%e a(2) = 120 = T(15).

%e a(3) = 12403 = T(157).

%e a(4) = 12403 = T(157).

%e a(5) = 231540 = T(680).

%e a(6) = 1053426 = T(1451).

%e a(7) = 10623745 = T(4609).

%e a(8) = 120784653 = T(15542).

%e a(9) = 1062489753 = T(46097).

%Y Cf. A000217.

%K base,easy,fini,full,nonn

%O 0,2

%A _Jonathan Vos Post_, Nov 15 2005

%E Extended by _Ray Chandler_, Nov 19 2005