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A113657
Decimal expansion of 1/1089.
0
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
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
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}]]]
CROSSREFS
KEYWORD
easy,nonn,cons
AUTHOR
Ryohei Miyadera, Jan 16 2006
EXTENSIONS
Edited by N. J. A. Sloane, May 15 2008, at the suggestion of R. J. Mathar.
STATUS
approved