A320815 Digits of the 2-adic integer exp(4).

1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0

Offset: 0

Author

Jianing Song, Oct 21 2018

Keywords

• nonn
• base

Comments

See A320814 for detailed information.

This is the multiplicative inverse of A321692. - Jianing Song, Nov 17 2018

Examples

			exp(4) = ...00111001000111000100011100100000101001101.
		

Links

• Jianing Song, Table of n, a(n) for n = 0..2000
• Wikipedia, p-adic number

Crossrefs

Cf. A320814, A321692.

Programs

PARI

a(n) = lift(sum(i=0, n-(n>=2), Mod(4^i/i!, 2^(n+1))))\2^n

PARI

a(n) = lift(exp(4 + O(2^(n+1))))\2^n; \\ Jianing Song, Nov 17 2018

Formula

a(n) = (A320814(n+1) - A320814(n))/2^n.