A068442 - OEIS

A068442

Numbers k such that the k-th digit is the same in e and Pi expansions in base 3.

6, 10, 11, 17, 18, 19, 21, 25, 30, 32, 34, 35, 39, 40, 41, 43, 45, 49, 57, 58, 61, 64, 65, 75, 78, 79, 80, 85, 88, 89, 95, 96, 98, 103, 109, 113, 115, 116, 119, 122, 123, 125, 126, 128, 134, 135, 139, 140, 141, 143, 145, 147, 148, 153, 155, 159, 163, 165, 166, 167

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The sequence only considers digits after the decimal point in base 3. - Harvey P. Dale, Aug 08 2026

LINKS

Table of n, a(n) for n=1..60.

EXAMPLE

Initial matches:

e (A004594): 2.20110112122110201101222210...

Pi (A004602): 10.01021101222201021100211111...

* ** *** * * (positions 6, 10, 11, 17, 18, 19, 21, 25, ...)

MATHEMATICA

With[{nn=170}, {pid=Drop[RealDigits[Pi, 3, nn][[1]], 2]}, {ed=Drop[RealDigits[E, 3, nn][[1]], 1]}, Position[Thread[{pid, Most[ed]}], _?(#[[1]]==#[[2]]&), 1, Heads->False]]//Flatten (* Harvey P. Dale, Aug 08 2026 *)

CROSSREFS

Cf. A004594, A004602.

Sequence in context: A288928 A039509 A277597 * A096549 A248757 A136812

Adjacent sequences: A068439 A068440 A068441 * A068443 A068444 A068445

KEYWORD

easy,nonn,base

AUTHOR

Benoit Cloitre, Mar 09 2002

STATUS

approved