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 A266002 Positions in Pi, e, and the Golden Ratio indicate a common digit. 1
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..10000 EXAMPLE The 100th digit of Pi = the 100th digit of e = the 100th digit of the Golden Ratio = 7. 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_}]]] PROG (Python 3.x) from sympy import * #pi, E, phi pi_const = str(N(pi, 10000)) e_const = str(N(E, 10000)) phi_const = str(S.GoldenRatio.n(10000)) for x in range(10000):     if pi_const[x] == e_const[x]:         if e_const[x] == phi_const[x]:             print(x) # Glen Gilchrist, Jan 02 2022 CROSSREFS Cf. A000796, A001113, A001622, A257492, A257494. Sequence in context: A155646 A089936 A196928 * A326864 A083341 A336347 Adjacent sequences:  A265999 A266000 A266001 * A266003 A266004 A266005 KEYWORD nonn,base AUTHOR Harvey P. Dale, Dec 19 2015 STATUS approved

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Last modified January 24 00:05 EST 2022. Contains 350515 sequences. (Running on oeis4.)