A321692 Digits of the 2-adic integer exp(-4).

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

Offset

0,1

Comments

This is the multiplicative inverse of A320815.

Links

Table of n, a(n) for n=0..86.

Wikipedia, p-adic number

Formula

a(n) = (A321689(n+1) - A321689(n))/2^n.

Example

exp(-4) = ...00110000100100101000011101101111110000101.

Prog

(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;

Crossrefs

Cf. A320815, A321689.

Sequence in context: A190236 A190224 A352678 * A355943 A102242 A005369

Adjacent sequences: A321689 A321690 A321691 * A321693 A321694 A321695

Keyword

nonn,base

Author

Jianing Song, Nov 17 2018

Status

approved