

A218356


Minimal order of degreen irreducible polynomials over GF(3).


3



1, 4, 13, 5, 11, 7, 1093, 32, 757, 44, 23, 35, 797161, 547, 143, 17, 1871, 19, 1597, 25, 14209, 67, 47, 224, 8951, 398581, 109, 29, 59, 31, 683, 128, 299, 103, 71, 95, 13097927, 2851, 169, 352, 83, 43, 431, 115, 181, 188, 1223, 97, 491, 151, 12853, 53, 107
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OFFSET

1,2


COMMENTS

a(n) < 3^n.


LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..100


FORMULA

a(n) = min(M(n)) with M(n) = {d : d(3^n1)} \ U(n1) and U(n) = M(n) union U(n1) for n>0, U(0) = {}.
a(n) = A212906(n,1) = A213224(n,2).


MAPLE

M:= proc(n) M(n):= divisors(3^n1) minus U(n1) end:
U:= proc(n) U(n):= `if`(n=0, {}, M(n) union U(n1)) end:
a:= n> min(M(n)[]):
seq (a(n), n=1..60);


CROSSREFS

Cf. A212906, A213224.
Sequence in context: A170865 A320030 A191509 * A249120 A170844 A051432
Adjacent sequences: A218353 A218354 A218355 * A218357 A218358 A218359


KEYWORD

nonn


AUTHOR

Alois P. Heinz, Oct 27 2012


STATUS

approved



