A301915 a(n) is the multiplicative order of 3, modulo A301913(n).

4, 6, 5, 16, 18, 28, 30, 42, 52, 29, 78, 41, 88, 48, 100, 53, 112, 126, 65, 136, 138, 148, 162, 172, 89, 196, 198, 210, 222, 113, 232, 120, 125, 256, 268, 280, 282, 292, 316, 330, 168, 173, 352, 378, 388, 400, 204, 209, 146, 221, 448, 228, 460, 462, 233

Offset: 1

Author

Luke W. Richards, Mar 28 2018

Keywords

• nonn

Comments

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

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

Examples

			a(1) = 4 because A301913(1) = 5 and the multiplicative order of 3 modulo 5 = 4.
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.
a(7) = 30 because A301913(7) = 31 and the multiplicative order of 3 modulo 31 = 4.
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.
		

Crossrefs

Cf. A301913, A301914.