A021895 Decimal expansion of 1/891.

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cons
• easy

Comments

Sqrt(161616161616161616161616161616161616) = 12*sqrt(1122334455667789001122334455667789). - Ryohei Miyadera, Yosuke Ikeda, Yasushi Kondo, and Yasuhiko Sakaitani, Jan 16 2006

References

• Albert H. Beiler, Recreations in the theory of numbers, New York, Dover, (2nd ed.) 1966. See p. 59.

Links

• Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Crossrefs

Cf. A004526.

Programs

Mathematica

Join[{0,0},RealDigits[1/891,10,120][[1]]] (* Harvey P. Dale, Sep 26 2020 *)

PARI

1/891. \\ Charles R Greathouse IV, Apr 25 2016

Formula

G.f.: x^2*(Sum_{i=0..17} floor((i+2)/2)*x^i + x^15 - 9*x^16*(1 + x))/(1 - x^18). - Stefano Spezia, Jul 30 2024