%I #16 Jun 07 2021 04:45:30

%S 7,1,2,8,7,8,2,8,7,8,8,2,2,8,8,2,7,1,2,1,8,8,7,8,1,8,1,2,1,2,7,8,8,7,

%T 8,2,1,1,2,1,7,8,1,8,2,1,8,2,2,2,2,2,2,1,8,2,8,8,2,8,1,8,7,1,1,7,8,8,

%U 1,8,8,1,8,1,2,1,2,8,1,2,2,8,2,1,2,1,8,7,2,1,8,2,7,2,2,8,8,8,7,1,8,7,1,8,8

%N The e-th digit of e where the digit value of 0 is interpreted as decimal 10.

%C The numbers in this sequence are 1,2,7,8.

%C Conjecture: this sequence is non-repeating and infinite.

%H M. Ripa and G. Morelli, <a href="http://www.iqsociety.org/general/documents/Retro_analytical_Reasoning_IQ_tests_for_the_High_Range.pdf">Retro-analytical Reasoning IQ tests for the High Range</a>, 2013.

%F e = 2.718281828... Let the i-th digit of e be the digit of e in the i-th position. Then the e-th digit of e is the digit of e in the position corresponding to the value of the i-th digit.

%e The digit of e in the first position is 2 and the digit of e in the second position is 7, the first term in the table.

%o (PARI) g(n)=a=Vec(Str(exp(1)*10^9990));for(x=1,n,v=eval(a[x]);if(v==0,print1(a [v+10]","),print1(a[v]",")))

%Y Cf. A001113 (e).

%K base,nonn

%O 1,1

%A _Cino Hilliard_, May 27 2006