A113675 - OEIS

A113675

Decimal expansion of 1/8991.

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

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OFFSET

0,7

COMMENTS

1/(89...91) can produce this kind of sequence infinitely.

REFERENCES

Albert H. Beiler, Recreations in the theory of numbers, New York, Dover, (2nd ed.) 1966. See pp. 60, 308.

LINKS

Table of n, a(n) for n=0..95.

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

FORMULA

sqrt(576576576576576576576576576576576576576576576576576576) = 72*sqrt(111222333444555666777889000111222333444555666777889).

G.f.: x^3*(Sum_{i=0..27} floor((i+3)/3)*x^i + x^23 - 9*x^24*(1 + x + x^2 + 10*x^3/9))/(1 - x^27). - Stefano Spezia, Jul 31 2024

EXAMPLE

0.00011122233344455566677788900011...

MATHEMATICA

m = 17; Sqrt[Apply[Plus, 576*Table[(10^3)^k, {k, 0, m}]]]

Join[{0, 0, 0}, RealDigits[1/8991, 10, 120][[1]]] (* Harvey P. Dale, Apr 22 2012 *)

CROSSREFS

Cf. A002264, A021895.

Sequence in context: A008620 A104581 A261916 * A020912 A194990 A231153

Adjacent sequences: A113672 A113673 A113674 * A113676 A113677 A113678

KEYWORD

easy,cons,nonn

AUTHOR

Daisuke Minematsu and Ryohei Miyadera, Jan 17 2006

STATUS

approved