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A020667 Least n-th power containing every digit. 2

%I #11 Jul 04 2021 07:50:33

%S 1023456789,1026753849,12584301976,338920744561,2817036000549,

%T 16157819263041,1727094849536,13685690504052736,1628413597910449,

%U 3656158440062976,2384185791015625,129746337890625,1490116119384765625,168377826559400929,2862423051509815793

%N Least n-th power containing every digit.

%C It is extremely probable that a(n) = 2^n for all n >= 169.

%o (Python)

%o def a(n):

%o if n == 1: return 1023456789

%o a020667n = 2

%o while not(len(set(str(a020667n**n))) == 10): a020667n += 1

%o return a020667n**n

%o print([a(n) for n in range(1, 16)]) # _Michael S. Branicky_, Jul 04 2021

%Y Cf. A020666, A137214.

%K nonn,base

%O 1,1

%A _David W. Wilson_

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Last modified April 25 09:12 EDT 2024. Contains 371964 sequences. (Running on oeis4.)