A331550 15-adic integer x = ...65762C0520697E8CA1A31469 satisfying x^3 = x.

9, 6, 4, 1, 3, 10, 1, 10, 12, 8, 14, 7, 9, 6, 0, 2, 5, 0, 12, 2, 6, 7, 5, 6, 9, 8, 7, 0, 4, 2, 10, 1, 2, 9, 8, 0, 11, 13, 6, 11, 6, 6, 12, 5, 2, 9, 0, 1, 5, 1, 10, 9, 11, 8, 8, 14, 0, 12, 6, 0, 1, 1, 12, 14, 2, 13, 5, 13, 14, 9, 10, 12, 14, 9, 6, 6, 0, 12, 12, 7

Offset

0,1

Comments

The base-15 version of A091664. A, B, C, D, and E are the standard notations for the hexadecimal digits 10, 11, 12, 13, and 14, respectively. x+1 is a base-15 automorph.

Links

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

Patrick A. Thomas, Generating Array

Formula

x = 15-adic lim_{n->infinity} 9^(5^n).

Example

x   = ...65762C0520697E8CA1A31469.
x^2 = ...8978C2E9CE8570624D4BDA86 = A331549.
x^3 = ...65762C0520697E8CA1A31469 = x.

Prog

(PARI) See A331548 with initial b=9 instead of b=3.
(PARI) Vecrev(digits(lift((9+O(15^99))^5^99), 15)) \\ M. F. Hasler, Jan 26 2020

Crossrefs

Cf. A091664, A331549.

Sequence in context: A262701 A200280 A198363 * A253267 A309070 A010544

Adjacent sequences: A331547 A331548 A331549 * A331551 A331552 A331553

Keyword

nonn,base

Author

Patrick A. Thomas, Jan 20 2020

Status

approved