A257858 An increasing sequence of integers for which the continued square root map (see A257574) produces the decimal expansion of Pi.

6, 10, 19, 27, 29, 32, 42, 45, 56, 67, 75, 94, 109, 122, 138, 144, 151, 152, 172, 181, 194, 204, 205, 232, 256, 290, 316, 325, 346, 380, 412, 446, 478, 511, 520, 533, 580, 584, 617, 623, 654, 658, 661, 682, 734, 773, 823, 836, 865, 903, 954, 979, 997, 1008, 1059

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..1000

Popular Computing (Calabasas, CA), The CSR Function, Vol. 4 (No. 34, Jan 1976), pages PC34-10 to PC34-11. Annotated and scanned copy.

Herman P. Robinson, The CSR Function, Popular Computing (Calabasas, CA), Vol. 4 (No. 35, Feb 1976), pages PC35-3 to PC35-4. Annotated and scanned copy.

Example

sqrt(6) = 2.449489742783178
sqrt(6+sqrt(10)) = 3.0269254467476365
sqrt(6+sqrt(10+sqrt(19))) = 3.1287879095060176
sqrt(6+sqrt(10+sqrt(19+sqrt(27)))) = 3.140462825727146
sqrt(6+sqrt(10+sqrt(19+sqrt(27+sqrt(29))))) = 3.1414928066743406

Crossrefs

Cf. A257582, A257764, A257809.

Sequence in context: A287273 A138828 A109312 * A095985 A270306 A327410

Adjacent sequences: A257855 A257856 A257857 * A257859 A257860 A257861

Keyword

nonn

Author

Chai Wah Wu, May 13 2015

Status

approved