A034948 Decimal expansion of 1/9801.

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

Offset: 0

Author

Marvin Ray Burns

Keywords

• nonn
• cons
• easy

Comments

Group the terms 2 by 2 to get (except 98): 00, 01, 02, 03, ..., 97, 99, then repeat. - Michel Marcus, Mar 17 2013

Periodic with period 198; a(n) = a(n-198) for n > 200. - Charles R Greathouse IV, Feb 11 2025

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000
• StackExchange, What is special about the numbers 9801, 998001, 99980001 ..?
• Index entries for linear recurrences with constant coefficients, order 198.

Crossrefs

Cf. A036663, A036664, A036665.

Programs

Mathematica

Join[{0,0,0}, RealDigits[1/(9801), 10, 50][[1]]] (* G. C. Greube, Nov 05 2017 *)

PARI

\p 200
1/9801.0 \\ Michel Marcus, Mar 17 2013

Formula

Equals 1/9801 = 1/99^2.