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15-adic integer x = ...8978C2E9CE8570624D4BDA86 satisfying x^2 = x.
2

%I #18 Jan 29 2020 05:50:15

%S 6,8,10,13,11,4,13,4,2,6,0,7,5,8,14,12,9,14,2,12,8,7,9,8,5,6,7,14,10,

%T 12,4,13,12,5,6,14,3,1,8,3,8,8,2,9,12,5,14,13,9,13,4,5,3,6,6,0,14,2,8,

%U 14,13,13,2,0,12,1,9,1,0,5,4,2,0,5,8,8,14,2,2,7

%N 15-adic integer x = ...8978C2E9CE8570624D4BDA86 satisfying x^2 = x.

%C The base-15 version of A018248. A, B, C, D, and E are the standard representations of the hexadecimal digits 10, 11, 12, 13, and 14, respectively.

%F x = 15-adic lim_{n->infinity} 3^(4*(5^n)).

%e x^2 = ...8978C2E9CE8570624D4BDA86 = x.

%o (PARI) See A331548, with initial b=6 instead of b=3.

%o (PARI) A331549_vec(n)=Vecrev(digits(lift(chinese(Mod(0,3^n),Mod(1,5^n))),15)) \\ or simpler but slower: Vecrev(digits(lift(Mod(3^4,15^n)^5^(n-1)),15)) \\ _M. F. Hasler_, Jan 26 2020

%Y Cf. A018248.

%K nonn,base

%O 0,1

%A _Patrick A. Thomas_, Jan 20 2020