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

0,1

Comments

See A320814 for detailed information.

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

Links

Jianing Song, Table of n, a(n) for n = 0..2000

Wikipedia, p-adic number

Formula

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

Example

exp(4) = ...00111001000111000100011100100000101001101.

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; \\ Jianing Song, Nov 17 2018

Crossrefs

Cf. A320814, A321692.

Sequence in context: A227998 A266514 A082960 * A167683 A266502 A075438

Adjacent sequences: A320812 A320813 A320814 * A320816 A320817 A320818

Keyword

nonn,base

Author

Jianing Song, Oct 21 2018

Status

approved