A266002 Positions in Pi, e, and the Golden Ratio indicate a common digit.

13, 100, 170, 396, 500, 596, 607, 694, 825, 828, 841, 941, 1283, 1292, 1385, 1595, 1706, 1743, 1906, 2021, 2061, 2154, 2258, 2303, 2360, 2368, 2508, 2547, 2558, 2711, 2725, 2792, 2833, 2858, 3037, 3052, 3281, 3310, 3430, 3498, 3519, 3592, 3652, 3710, 3868

Offset: 1

Author

Harvey P. Dale, Dec 19 2015

Keywords

• nonn
• base

Examples

			The 100th digit of Pi = the 100th digit of e = the 100th digit of the Golden Ratio = 7.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000796, A001113, A001622, A257492, A257494.

Programs

Mathematica

Module[{nn=10000,pid,ed,grd},pid=RealDigits[Pi,10,nn][[1]];ed= RealDigits[ E,10,nn][[1]];grd=RealDigits[GoldenRatio,10,nn][[1]];Flatten[ Position[ Transpose[{pid,ed,grd}],{x_,x_,x_}]]]