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

Offset: 0

Author

Ryohei Miyadera, Jan 16 2006

Keywords

• easy
• nonn
• cons

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.

Examples

			0.0009182736455463728191000918273645546372819100091827364554...
		

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).

Crossrefs

Cf. A137301-A137304.

Cf. A021895, A021085.

Programs

Mathematica

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

Extensions

Edited by N. J. A. Sloane, May 15 2008, at the suggestion of R. J. Mathar.