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A218336 Triangle T(n,k) of orders of degree-n irreducible polynomials over GF(11) listed in ascending order. 4
1, 2, 5, 10, 3, 4, 6, 8, 12, 15, 20, 24, 30, 40, 60, 120, 7, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330, 16, 48, 61, 80, 122, 183, 240, 244, 305, 366, 488, 610, 732, 915, 976, 1220, 1464, 1830, 2440, 2928, 3660, 4880, 7320, 14640, 25, 50, 3221, 6442 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Rows n = 1..23, flattened

Eric Weisstein's World of Mathematics, Irreducible Polynomial

Eric Weisstein's World of Mathematics, Polynomial Order

FORMULA

T(n,k) = k-th smallest element of M(n) = {d : d|(11^n-1)} \ U(n-1) with U(n) = M(n) union U(n-1) if n>0, U(0) = {}.

EXAMPLE

Triangle begins:

1,   2,    5,   10;

3,   4,    6,    8,    12,    15,    20,     24,  30,  40, ...

7,  14,   19,   35,    38,    70,    95,    133, 190, 266, ...

16, 48,   61,   80,   122,   183,   240,    244, 305, 366, ...

25, 50, 3221, 6442, 16105, 32210, 80525, 161050;

MAPLE

with(numtheory):

M:= proc(n) M(n):= divisors(11^n-1) minus U(n-1) end:

U:= proc(n) U(n):= `if`(n=0, {}, M(n) union U(n-1)) end:

T:= n-> sort([M(n)[]])[]:

seq(T(n), n=1..5);

CROSSREFS

Column k=5 of A212737.

Last elements of rows give: A024127.

Column k=1 gives: A218359.

Row lengths are A212957(n,11).

Sequence in context: A264784 A306679 A125974 * A059955 A099796 A022831

Adjacent sequences:  A218333 A218334 A218335 * A218337 A218338 A218339

KEYWORD

nonn,look,tabf

AUTHOR

Alois P. Heinz, Oct 26 2012

STATUS

approved

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Last modified February 25 08:48 EST 2020. Contains 332221 sequences. (Running on oeis4.)