A309823 -id:A309823 - cp's OEIS frontend

A309820 Digits of the 10-adic integer (987654321/(1-10^9))^(1/9).

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

Offset: 0

Seiichi Manyama, Aug 18 2019

x = ...338737664587063665050177076914840881.

x^9 = ...987654321987654321987654321987654321.

			          1^9 == 1         (mod 10).
         81^9 == 21        (mod 10^2).
        881^9 == 321       (mod 10^3).
        881^9 == 4321      (mod 10^4).
      40881^9 == 54321     (mod 10^5).
     840881^9 == 654321    (mod 10^6).
    4840881^9 == 7654321   (mod 10^7).
   14840881^9 == 87654321  (mod 10^8).
  914840881^9 == 987654321 (mod 10^9).

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Digits of the 10-adic integer (987654321/(1-10^9))^(1/k): A309818 (k=3), A309819 (k=7), this sequence (k=9).

Cf. A010888, A138531, A309823, A309826.

N=100; M=987654321/(1-10^9); Vecrev(digits(lift(chinese(Mod((M+O(2^N))^(1/9), 2^N), Mod((M+O(5^N))^(1/9), 5^N)))), N)

A309821 Digits of the 10-adic integer (123456789/(1-10^9))^(1/3).

Original entry on oeis.org

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

Offset: 0

Seiichi Manyama, Aug 18 2019

x = ...149972824111549982669481257464658829.

x^3 = ...123456789123456789123456789123456789.

			          9^3 == 9         (mod 10).
         29^3 == 89        (mod 10^2).
        829^3 == 789       (mod 10^3).
       8829^3 == 6789      (mod 10^4).
      58829^3 == 56789     (mod 10^5).
     658829^3 == 456789    (mod 10^6).
    4658829^3 == 3456789   (mod 10^7).
   64658829^3 == 23456789  (mod 10^8).
  464658829^3 == 123456789 (mod 10^9).

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Digits of the 10-adic integer (123456789/(1-10^9))^(1/k): this sequence (k=3), A309822 (k=7), A309823 (k=9).

Cf. A309818.

N=100; M=123456789/(1-10^9); Vecrev(digits(lift(chinese(Mod((M+O(2^N))^(1/3), 2^N), Mod((M+O(5^N))^(1/3), 5^N)))), N)

A309822 Digits of the 10-adic integer (123456789/(1-10^9))^(1/7).

Original entry on oeis.org

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

Offset: 0

Seiichi Manyama, Aug 18 2019

x = ...360427291675787237496648325197272669.

x^7 = ...123456789123456789123456789123456789.

			          9^7 == 9         (mod 10).
         69^7 == 89        (mod 10^2).
        669^7 == 789       (mod 10^3).
       2669^7 == 6789      (mod 10^4).
      72669^7 == 56789     (mod 10^5).
     272669^7 == 456789    (mod 10^6).
    7272669^7 == 3456789   (mod 10^7).
   97272669^7 == 23456789  (mod 10^8).
  197272669^7 == 123456789 (mod 10^9).

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Digits of the 10-adic integer (123456789/(1-10^9))^(1/k): A309821 (k=3), this sequence (k=7), A309823 (k=9).

Cf. A309819.

N=100; M=123456789/(1-10^9); Vecrev(digits(lift(chinese(Mod((M+O(2^N))^(1/7), 2^N), Mod((M+O(5^N))^(1/7), 5^N)))), N)

cp's OEIS Frontend

A309820 Digits of the 10-adic integer (987654321/(1-10^9))^(1/9).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

PARI

A309821 Digits of the 10-adic integer (123456789/(1-10^9))^(1/3).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

PARI

A309822 Digits of the 10-adic integer (123456789/(1-10^9))^(1/7).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

PARI