A301915 - OEIS

%I #16 May 23 2018 09:51:48

%S 4,6,5,16,18,28,30,42,52,29,78,41,88,48,100,53,112,126,65,136,138,148,

%T 162,172,89,196,198,210,222,113,232,120,125,256,268,280,282,292,316,

%U 330,168,173,352,378,388,400,204,209,146,221,448,228,460,462,233

%N a(n) is the multiplicative order of 3, modulo A301913(n).

%C The multiplicative order of x mod y is the least positive value of z for which x^z == 1 (mod y).

%C Note: This is the least value for which A301913(n) divides 3^(A301914(n) + k*A(n)) + 2 for every nonnegative integer k.

%e a(1) = 4 because A301913(1) = 5 and the multiplicative order of 3 modulo 5 = 4.

%e Note: Given a(1) = 4 and A301914(1) = 5, every value of k that can be written as k = 5 + 5j (for a nonnegative integer j) is a multiple of A301913(1) = 5.

%e a(7) = 30 because A301913(7) = 31 and the multiplicative order of 3 modulo 31 = 4.

%e Note: Given a(7) = 9 and A301914(7) = 30, every value of k that can be written as k = 30 + 9j (for a nonnegative integer j) is a multiple of A301913(7) = 31.

%Y Cf. A301913, A301914.

%K nonn

%O 1,1

%A _Luke W. Richards_, Mar 28 2018