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

1,1

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.

Links

Table of n, a(n) for n=1..55.

Example

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.

Sequence in context: A013074 A140384 A274929 * A009456 A009465 A324942

Adjacent sequences: A301912 A301913 A301914 * A301916 A301917 A301918

Keyword

nonn

Author

Luke W. Richards, Mar 28 2018

Status

approved