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A195138 First digit to appear n times in the decimal expansion of e. 10

%I #43 Apr 02 2021 22:26:30

%S 2,2,8,8,2,2,2,2,9,7,7,7,7,7,7,7,7,7,7,2,2,2,2,2,2,2,3,9,9,2,7,4,4,7,

%T 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,9,9,9,9,

%U 9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9

%N First digit to appear n times in the decimal expansion of e.

%C The digits 0 and 5 do not appear among the first 30000 terms. When do they first appear? - _Jianing Song_, Apr 01 2021

%H Alois P. Heinz, <a href="/A195138/b195138.txt">Table of n, a(n) for n = 1..10000</a>

%e From _Michael De Vlieger_, Sep 10 2017: (Start)

%e a(n) is the first decimal digit of e that first appears n times when e is expanded to the -m place:

%e n a(n) m

%e 1 2 0

%e 2 2 4

%e 3 8 7

%e 4 8 9

%e 5 2 22

%e 6 2 30

%e 7 2 33

%e 8 2 40

%e 9 9 58

%e 10 7 63

%e 11 7 64

%e 12 7 68

%e 13 7 78

%e 14 7 83

%e 15 7 89

%e 16 7 99

%e (End)

%t With[{e = First@ RealDigits[N[E, 10^4]]}, Function[t, -1 + Map[FirstPosition[t, #] &, Range@ Max@ t][[All, -1]]]@ Table[BinCounts[Take[e, n], {0, 10, 1}], {n, 10^3}]] (* _Michael De Vlieger_, Sep 10 2017 *)

%Y Cf. A001113, A195844, A277270, A290643, A290644.

%Y Cf. A096567, A195139, A195141, A280811, A341438.

%K nonn,base

%O 1,1

%A _Omar E. Pol_, Oct 22 2011

%E More terms from _D. S. McNeil_, Oct 22 2011

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Last modified April 19 06:44 EDT 2024. Contains 371782 sequences. (Running on oeis4.)