A068441 Numbers k such that the k-th digit is the same in e and Pi expansions in base 2.

2, 3, 5, 6, 11, 16, 17, 18, 22, 28, 30, 32, 33, 34, 35, 36, 41, 43, 44, 48, 49, 50, 52, 53, 54, 56, 58, 62, 63, 66, 68, 71, 72, 73, 76, 78, 79, 80, 83, 85, 86, 88, 90, 92, 96, 98, 99, 106, 107, 108, 109, 111, 112, 114, 115, 116, 117, 118, 119, 120, 122, 123, 124, 125

Offset

1,1

Comments

"Digit" refers to the sequence of digits past the period, 1st digit having value 1/2:

00100100001111110110... for Pi and

10110111111000010101... for exp(1). - R. J. Mathar, Mar 22 2012

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Mathematica

With[{eb2=Drop[RealDigits[E, 2, 150][[1]], 2], pb2=Drop[RealDigits[Pi, 2, 150] [[1]], 2]}, Select[Range[130], eb2[[#]]==pb2[[#]]&]] (* Harvey P. Dale, Mar 22 2012 *)

Prog

(PARI) E=binary(exp(1))[2]; P=binary(Pi)[2]; for(n=1, min(#E, #P), E[n]==P[n] && print1(n", ")) \\ M. F. Hasler, Mar 22 2012
(PARI) E=exp(1); for(n=1, 150, (Pi\.5^n-E\.5^n)%2 || print1(n", ")) \\ M. F. Hasler, Mar 22 2012

Crossrefs

Cf. A004601, A004593.

Sequence in context: A034407 A280218 A294526 * A268935 A112598 A346721

Adjacent sequences: A068438 A068439 A068440 * A068442 A068443 A068444

Keyword

easy,nonn,base

Author

Benoit Cloitre, Mar 09 2002

Status

approved