A257494 Positions where e and the Golden Ratio have a common decimal digit.

3, 4, 10, 13, 24, 29, 32, 37, 38, 62, 63, 65, 100, 101, 127, 132, 150, 159, 170, 180, 183, 194, 204, 216, 228, 239, 256, 260, 268, 273, 277, 289, 297, 300, 310, 319, 320, 341, 375, 385, 391, 396, 406, 430, 431, 458, 473, 476, 486, 493, 500, 536, 544, 549

Offset: 1

Author

Harvey P. Dale, Apr 26 2015

Keywords

• nonn
• base

Crossrefs

Cf. A001113, A001622.

Cf. A052055, A257492.

Programs

Mathematica

With[{nn=1000},Flatten[Position[Thread[{RealDigits[GoldenRatio,10,nn][[1]],RealDigits[E,10,nn][[1]]}],_?(#[[1]]==#[[2]]&),{1},Heads-> False]]]