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

Author

Chai Wah Wu, May 13 2015

Keywords

• nonn

Examples

			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
		

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.

Crossrefs

Cf. A257582, A257764, A257809.