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A349811 Table of triples read by rows: the fundamental unit of the purely real cubic field Q(m^(1/3)), m = A349810(n), is (T(n,0) + T(n,1)*x + T(n,2)*x^2)/d, where x = m^(1/3) and d is a small integer, usually 1. 1
1, 1, 1, 4, 3, 2, 41, 24, 14, 109, 60, 33, 4, 2, 1, 23, 11, 5, 89, 40, 18, 110, 48, 21, 94, 40, 17, 29, 12, 5, 5401, 2190, 888, 324, 126, 49, 14, 5, 2, 22, 8, 3, 1705, 618, 224, 793, 283, 101, 2166673601, 761875860, 267901370 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

The denominator d is 1 with the following exceptions: 3 for m=10, 2 for m=12, 3 for m=19, 2 for m=20, and so on.

Wada's table extends to m=249.

LINKS

Table of n, a(n) for n=1..51.

Hideo Wada, A table of fundamental units of purely cubic fields, Proc. Japan Acad. 46 (1970), 1135-1140. [Math. Rev. MR0294292]

EXAMPLE

The table begins as follows (the denominator d has been included if it is not 1, and m = A349810(n)):

n  m  (T(n,0) T(n,1) T(n,2))/d

1  2  1, 1, 1,

2  3  4, 3, 2,

3  5  41, 24, 14,

4  6  109, 60, 33,

5  7  4, 2, 1,

6 10  (23, 11, 5)/3,

7 11  89, 40, 18,

8 12  (110, 48, 21)/2,

9 13  94, 40, 17,

10 14 29, 12, 5,

11 15 5401, 2190, 888,

12 17 324, 126, 49,

13 19 (14, 5, 2)/3,

14 20 (22, 8, 3)/2,

15 21 1705, 618, 224,

16 22 793, 283, 101,

17 23 2166673601, 761875860, 267901370,

...

CROSSREFS

Cf. A349810.

Sequence in context: A019130 A245348 A174551 * A239799 A305235 A120011

Adjacent sequences:  A349808 A349809 A349810 * A349812 A349813 A349814

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, Dec 22 2021

STATUS

approved

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Last modified August 17 00:01 EDT 2022. Contains 356180 sequences. (Running on oeis4.)