A027695 - OEIS

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A027695

Number of primitive polynomials of degree n over GF(4).

1, 2, 4, 12, 32, 120, 288, 1512, 4096, 15552, 48000, 240064, 552960, 3439800, 9483264, 35640000, 134217728, 673699800, 1451188224, 9644765256, 23685120000, 115605729792, 401556013056, 1996264531840, 4566087106560, 26244000000000, 89961392102400, 356237685227520

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OFFSET

0,2

LINKS

Amiram Eldar, Table of n, a(n) for n = 0..1122 (terms 0..150 from Andrew Howroyd)

FORMULA

a(n) = A295501(n)/n = 2*A027742(n) for n >= 1. - Amiram Eldar, Nov 30 2024

MAPLE

with(numtheory): seq(`if`(n=0, 1, phi(4^n-1)/n), n=0..27);

MATHEMATICA

Join[{1}, Array[EulerPhi[4^# - 1]/# &, 30]] (* Paolo Xausa, Jun 17 2024 *)

PROG