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A381980
a(n) is the first position where the digits of n occur simultaneously in the decimal expansions of Pi and e.
1
331, 95, 17, 18, 263, 326, 21, 40, 206, 13, 13422, 428, 500, 6426, 12896, 11172, 17951, 962, 9710, 2857, 9261, 4782, 21688, 17, 26172, 2526, 2060, 2900, 5375, 6167, 10097, 13009, 9287, 12651, 4175, 840, 38691, 11997, 14119, 3519, 4684, 21785, 7662, 1798, 1253, 10869, 9157, 7216, 3430, 13191, 5148, 1843, 10790
OFFSET
0,1
COMMENTS
The digits of the decimal expansions are numbered starting with 1 at the initial digits 3 (resp. 2).
LINKS
EXAMPLE
a(9) = 13 because the first "9" appears simultaneously in Pi and e at index 13:
Pi = 3.1415926535897932384626...
. ...........|.............
e = 2.7182818284590452353602...
MATHEMATICA
pi=RealDigits[Pi, 10, 40000][[1]];
e=RealDigits[E, 10, 40000][[1]];
Table[Intersection[SequencePosition[pi, IntegerDigits[k]][[All, 1]], SequencePosition[e, IntegerDigits[k]][[All, 1]]][[1]], {k, 0, 52}]
CROSSREFS
Cf. A000796 (Pi), A001113 (e).
Cf. A032445 (positions in Pi), A088576 (positions in e).
Cf. A052055 (positions in both Pi and e indicate a common digit).
Sequence in context: A104476 A140908 A256586 * A319718 A319921 A365596
KEYWORD
nonn,base,easy
AUTHOR
Zhining Yang, Mar 11 2025
STATUS
approved