A331549 15-adic integer x = ...8978C2E9CE8570624D4BDA86 satisfying x^2 = x.

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

Offset

0,1

Comments

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.

Links

Table of n, a(n) for n=0..79.

Formula

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

Example

x^2 = ...8978C2E9CE8570624D4BDA86 = x.

Prog

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

Crossrefs

Cf. A018248.

Sequence in context: A243826 A295318 A343569 * A184111 A330976 A181764

Adjacent sequences: A331546 A331547 A331548 * A331550 A331551 A331552

Keyword

nonn,base

Author

Patrick A. Thomas, Jan 20 2020

Status

approved