A094326 -id:A094326 - cp's OEIS frontend

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

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

A072990 a(2) = 1000, a(n) = 18 - n for 3 <= n <= 9, a(n) = 8 for n >= 10.

Original entry on oeis.org

1000, 15, 14, 13, 12, 11, 10, 9, 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: 2

Vincenzo Vennarini (vennarini(AT)hotmail.com), Aug 21 2002

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

Cf. A094326.

G.f.: x^2*(x^8+x^7+x^6+x^5+x^4+x^3+x^2+985*x-1000)/(x-1).

Definition corrected by Georg Fischer, Aug 26 2024

cp's OEIS Frontend

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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A072990 a(2) = 1000, a(n) = 18 - n for 3 <= n <= 9, a(n) = 8 for n >= 10.

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