login
a(n) is the first nonzero digit in the decimal expansion of 1/prime(n).
1

%I #33 Aug 25 2024 13:59:46

%S 5,3,2,1,9,7,5,5,4,3,3,2,2,2,2,1,1,1,1,1,1,1,1,1,1,9,9,9,9,8,7,7,7,7,

%T 6,6,6,6,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,

%U 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2

%N a(n) is the first nonzero digit in the decimal expansion of 1/prime(n).

%H Harvey P. Dale, <a href="/A353179/b353179.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A052038(prime(n)).

%p a:= n-> (p-> floor(10^length(p)/p))(ithprime(n)):

%p seq(a(n), n=1..100); # _Alois P. Heinz_, Apr 30 2022

%t Table[RealDigits[1/Prime[n],10,1][[1]],{n,100}]//Flatten (* _Harvey P. Dale_, Aug 25 2024 *)

%o (PARI) a(n) = my(p=prime(n)); floor(10^(1+logint(p-1, 10))/p) \\ _Felix Fröhlich_, Apr 29 2022

%Y Cf. A052038, A000040.

%K nonn,easy,base

%O 1,1

%A _Firdous Ahmad Mala_, Apr 29 2022

%E More terms from _Felix Fröhlich_, Apr 29 2022