A256131 - OEIS

%I #44 Jan 11 2020 15:57:46

%S 3,12,20,100,10000000000

%N a(n) = H_n(10,2) where H_n is the n-th hyperoperator.

%C See A054871 for definitions and key links.

%C Sequence can be also be seen as a(0) = 3, a(1) = 12, a(n) = H_{n-1}(10,10) for n>1. - _Natan Arie Consigli_, Apr 22 2015; edited by _Danny Rorabaugh_, Oct 20 2015

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Hyperoperation">Hyperoperation</a>

%e a(0) = H_0(10,2) = 2+1  = 3;

%e a(1) = H_1(10,2) = 10+2 = 12;

%e a(2) = H_2(10,2) = 10*2   = 10+10 = 20;

%e a(3) = H_3(10,2) = 10^2   = 10*10 = 100;

%e a(4) = H_4(10,2) = 10^^2  = 10^10 = 10000000000;

%e a(5) = H_5(10,2) = 10^^^2 = 10^^10 = 10^10^10^10^10^10^10^10^10^10 = ... .

%Y Cf. A054871.

%K nonn

%O 0,1

%A _Natan Arie Consigli_, Mar 15 2015

%E First terms corrected and hyperoperator notation implemented by _Danny Rorabaugh_, Oct 20 2015