A113657 - OEIS

A113657

Decimal expansion of 1/1089.

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

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OFFSET

0,4

COMMENTS

This sequence can also be produced by Sqrt[11111111111111111111111111111111111111111111] =11*Sqrt[91827364554637281910009182736455463728191], where Sqrt is the square root. In fact we found this from the square root and later looked for the same sequence in the expansion.

Comment from Eric Desbiaux, Apr 08 2008: Also, of course, decimal expansion of 9/9801. Note that

99/9801 = 0.0101010101010101010101...,

9999/9801 = 1.02020202020202020202020...,

999999/9801 = 102.0303030303030303030303...,

99999999/9801 = 10203.040404040404040404040404..., etc.

LINKS

Table of n, a(n) for n=0..97.

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, 1).

EXAMPLE

0.0009182736455463728191000918273645546372819100091827364554...

MATHEMATICA

m = 21; Sqrt[Apply[Plus, Table[11*100^k, {k, 0, m}]]]