login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

An increasing sequence of integers for which the continued square root map (see A257574) produces the decimal expansion of Pi.
1

%I #7 Jun 18 2015 12:33:59

%S 6,10,19,27,29,32,42,45,56,67,75,94,109,122,138,144,151,152,172,181,

%T 194,204,205,232,256,290,316,325,346,380,412,446,478,511,520,533,580,

%U 584,617,623,654,658,661,682,734,773,823,836,865,903,954,979,997,1008,1059

%N An increasing sequence of integers for which the continued square root map (see A257574) produces the decimal expansion of Pi.

%H Chai Wah Wu, <a href="/A257858/b257858.txt">Table of n, a(n) for n = 1..1000</a>

%H Popular Computing (Calabasas, CA), <a href="/A257352/a257352.pdf">The CSR Function</a>, Vol. 4 (No. 34, Jan 1976), pages PC34-10 to PC34-11. Annotated and scanned copy.

%H Herman P. Robinson, <a href="/A257574/a257574.pdf">The CSR Function</a>, Popular Computing (Calabasas, CA), Vol. 4 (No. 35, Feb 1976), pages PC35-3 to PC35-4. Annotated and scanned copy.

%e sqrt(6) = 2.449489742783178

%e sqrt(6+sqrt(10)) = 3.0269254467476365

%e sqrt(6+sqrt(10+sqrt(19))) = 3.1287879095060176

%e sqrt(6+sqrt(10+sqrt(19+sqrt(27)))) = 3.140462825727146

%e sqrt(6+sqrt(10+sqrt(19+sqrt(27+sqrt(29))))) = 3.1414928066743406

%Y Cf. A257582, A257764, A257809.

%K nonn

%O 1,1

%A _Chai Wah Wu_, May 13 2015