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A301915
a(n) is the multiplicative order of 3, modulo A301913(n).
2
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.
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
Sequence in context: A013074 A140384 A274929 * A009456 A009465 A324942
KEYWORD
nonn
AUTHOR
Luke W. Richards, Mar 28 2018
STATUS
approved