A035613 -id:A035613 - cp's OEIS frontend

A094326 a(n) = 8 written in base n.

11111111, 1000, 22, 20, 13, 12, 11, 10, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8

Offset: 1

N. J. A. Sloane, Jun 04 2004

The term 111....1111 should officially be called the "unary expansion", since in base 1 only the digit 0 may appear.

Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A001732, A063432, A035613, A094324, A094325, A094327, A094232, etc.

From Elmo R. Oliveira, Jun 15 2024: (Start)
G.f.: x*(11111111-11110111*x-978*x^2-2*x^3-7*x^4-x^5-x^6-x^7-2*x^8)/(1-x).
a(n) = 8 for n > 8. (End)

A094324 a(n) = 5 written in base n.

Original entry on oeis.org

11111, 101, 12, 11, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5

Offset: 1

N. J. A. Sloane, Jun 04 2004

The term 111....1111 should officially be called the "unary expansion", since in base 1 only the digit 0 may appear.

Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A001735, A063432, A035613, A094325, A094326, A094327, A094232, etc.

From Elmo R. Oliveira, Jun 15 2024: (Start)
G.f.: x*(11111-11010*x-89*x^2-x^3-x^4-5*x^5)/(1-x).
a(n) = 5 for n > 5. (End)

A094325 a(n) = 6 written in base n.

Original entry on oeis.org

111111, 110, 20, 12, 11, 10, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6

Offset: 1

N. J. A. Sloane, Jun 04 2004

The term 111....1111 should officially be called the "unary expansion", since in base 1 only the digit 0 may appear.

Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A001734, A063432, A035613, A094324, A094326, A094327, A094232, etc.

From Elmo R. Oliveira, Jun 15 2024: (Start)
G.f.: x*(111111-111001*x-90*x^2-8*x^3-x^4-x^5-4*x^6)/(1-x).
a(n) = 6 for n > 6. (End)

A094327 a(n) = 9 written in base n.

Original entry on oeis.org

111111111, 1001, 100, 21, 14, 13, 12, 11, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9

Offset: 1

N. J. A. Sloane, Jun 04 2004

The term 111....1111 should officially be called the "unary expansion", since in base 1 only the digit 0 may appear.

Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A001731, A063432, A035613, A094324, A094325, A094326, A094232, etc.

Join[{111111111},Table[FromDigits[IntegerDigits[9,n]],{n,2,90}]] (* Stefano Spezia, Nov 10 2023 *)

G.f.: x*(111111111 - 111110110*x - 901*x^2 - 79*x^3 - 7*x^4 - x^5 - x^6 - x^7 - x^8 - x^9)/(1 - x). - Stefano Spezia, Nov 10 2023

A079483 Array read by rows in which n-th row lists the periodic part of the base-n expansion of 1/7.

Original entry on oeis.org

0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 3, 2, 4, 1, 2, 0, 5, 0, 1, 1, 2, 5, 1, 4, 2, 8, 5, 7, 1, 6, 3, 1, 8, 6, 10, 3, 5, 1, 11, 0, 2, 2, 4, 9, 2, 7, 4, 14, 9, 12, 2, 10, 5, 2, 13, 10, 16, 5, 8, 2, 17, 0, 3, 3, 6, 13, 3, 10, 6, 20, 13, 17, 3, 14, 7, 3, 18, 14

Offset: 2

Stephen K. Johnson, Jan 17 2003

			In base 2, 1/111_2 = 0.001001001001 ..., where 111_2 = 7; the periodic part is 0 0 1, so these form the first three digits. The periodic portions in the next few bases are 010212 (base 3), 021 (base 4), etc.
Array begins:
  0, 0, 1;
  0, 1, 0, 2, 1, 2;
  0, 2, 1;
  0, 3, 2, 4, 1, 2;
  0, 5;
  ...

Cf. A048962, A048963, A020806, A035613.

More terms from Sean A. Irvine, Aug 16 2025

cp's OEIS Frontend

A094326 a(n) = 8 written in base n.

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A094324 a(n) = 5 written in base n.

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A094325 a(n) = 6 written in base n.

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A094327 a(n) = 9 written in base n.

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A079483 Array read by rows in which n-th row lists the periodic part of the base-n expansion of 1/7.

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