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A135630 2^(prime(n) - 2) - 1. 1

%I #13 Sep 08 2022 08:45:32

%S 0,1,7,31,511,2047,32767,131071,2097151,134217727,536870911,

%T 34359738367,549755813887,2199023255551,35184372088831,

%U 2251799813685247,144115188075855871,576460752303423487,36893488147419103231,590295810358705651711

%N 2^(prime(n) - 2) - 1.

%H Vincenzo Librandi, <a href="/A135630/b135630.txt">Table of n, a(n) for n = 1..200</a>

%F a(n) = 2^(A000040(n)-2) - 1 = 2^(A040976(n)) - 1 = (2^A000040(n)/4) - 1 = (A061286(n)/2) - 1.

%e a(4)=31 because the 4th prime number is 7 and 7-2=5 and 2^5=32 and 32-1=31.

%t Table[2^(Prime[n]-2)-1,{n,20}] (* _Harvey P. Dale_, Feb 25 2011 *)

%o (Magma) [2^(NthPrime(n)-2)-1: n in [1..30]]; // _Vincenzo Librandi_, Sep 06 2014

%Y Cf. A000040, A040976, A061286.

%K easy,nonn

%O 1,3

%A _Omar E. Pol_, Mar 01 2008

%E More terms from _Harvey P. Dale_, Feb 25 2011

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Last modified August 2 17:23 EDT 2024. Contains 374848 sequences. (Running on oeis4.)