A319740 The 10-adic integer cube root of one eleventh (1/11), that is, satisfying 11 * x^3 == 1 (mod 10^n), for all n.

1, 3, 1, 7, 6, 1, 8, 5, 7, 9, 7, 9, 3, 0, 1, 6, 1, 0, 5, 4, 5, 9, 3, 9, 9, 0, 3, 1, 3, 8, 6, 5, 2, 1, 9, 3, 3, 2, 8, 3, 4, 4, 6, 3, 5, 0, 0, 9, 7, 2, 8, 2, 5, 7, 3, 4, 8, 5, 9, 3, 0, 9, 2, 9, 1, 2, 1, 8, 5, 8, 7, 3, 3, 0, 5, 7, 4, 6, 4, 2, 5, 0, 3, 5, 5, 9, 4, 7, 1, 3

Offset

1,2

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

45016103979758167131^3 * 11 == 1 (mod 10^20).

Maple

op([1, 3], padic:-rootp(11*x^3-1, 10, 100)); # Robert Israel, Jan 03 2019

Prog

(PARI) seq(n)={Vecrev(digits(lift(chinese( Mod((1/11 + O(5^n))^(1/3), 5^n), Mod((1/11 + O(2^n))^(1/3), 2^n)))), n)} \\ Andrew Howroyd, Nov 26 2018

Crossrefs

Cf. A225402, A225411, A225412 (10-adic cube root of -1/3, 1/3, 1/9).

Sequence in context: A101624 A166519 A213043 * A275662 A110441 A111806

Adjacent sequences: A319737 A319738 A319739 * A319741 A319742 A319743

Keyword

nonn,base,easy

Author

Patrick A. Thomas, Sep 26 2018

Extensions

Terms a(56) and beyond from Andrew Howroyd, Nov 26 2018

Status

approved