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A135611 Decimal expansion of sqrt(2) + sqrt(3). +0
3
3, 1, 4, 6, 2, 6, 4, 3, 6, 9, 9, 4, 1, 9, 7, 2, 3, 4, 2, 3, 2, 9, 1, 3, 5, 0, 6, 5, 7, 1, 5, 5, 7, 0, 4, 4, 5, 5, 1, 2, 4, 7, 7, 1, 2, 9, 1, 8, 7, 3, 2, 8, 7, 0, 1, 2, 3, 2, 4, 8, 6, 7, 1, 7, 4, 4, 2, 6, 6, 5, 4, 9, 5, 3, 7, 0, 9, 0, 7, 0, 7, 5, 9, 3, 1, 5, 3, 3, 7, 2, 1, 0, 8, 4, 8, 9, 0, 1, 4 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

Comment from Alexander R. Povolotsky (pevnev(AT)juno.com), Mar 04 2008 (Start): The value of sqrt(2) + sqrt(3) ~= 3.146264369941972342329135... is "close" to Pi. We can get a better approximation by solving the equation: (2-x)^(1/(2+x)) + (3-x)^(1/(2+x)) = Pi.

Olivier Gerard finds that x is 0.00343476569746030039595770020414255107204742044644777... (End)

Another approximation to Pi: (203*sqrt(2)+ 197*sqrt(3))/200 = 3.1414968... - Alexander R. Povolotsky (pevnev(AT)juno.com), Mar 22 2008

EXAMPLE

3.146264369941972342329135...

CROSSREFS

Adjacent sequences: A135608 A135609 A135610 this_sequence A135612 A135613 A135614

Sequence in context: A075419 A060922 A143790 this_sequence A011089 A100954 A071315

KEYWORD

nonn,cons

AUTHOR

njas, Mar 03 2008

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.


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