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 A257492 Positions where Pi and the Golden Ratio have a common decimal digit. 3
 13, 15, 19, 43, 46, 49, 53, 60, 64, 66, 71, 78, 100, 102, 107, 108, 114, 134, 138, 139, 140, 158, 162, 170, 171, 173, 177, 178, 185, 191, 196, 230, 240, 254, 271, 290, 304, 314, 322, 360, 368, 395, 396, 402, 407, 416, 437, 439, 440, 443, 448, 465, 468, 472 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..54. MATHEMATICA With[{nn=1000}, Flatten[Position[Thread[{RealDigits[GoldenRatio, 10, nn][[1]], RealDigits[Pi, 10, nn][[1]]}], _?(#[[1]]==#[[2]]&), {1}, Heads-> False]]] PROG (Python) from sympy import S digits = 1000 pi, phi = str(S.Pi.n(digits+3)), str(S.GoldenRatio.n(digits+3)) print([k for k in range(2, digits+1) if pi[k] == phi[k]]) # Michael S. Branicky, May 06 2023 CROSSREFS Cf. A052055, A257494. Sequence in context: A166534 A126727 A340618 * A067912 A140646 A109656 Adjacent sequences: A257489 A257490 A257491 * A257493 A257494 A257495 KEYWORD nonn,base AUTHOR Harvey P. Dale, Apr 26 2015 STATUS approved

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Last modified April 12 10:04 EDT 2024. Contains 371627 sequences. (Running on oeis4.)