|
| |
|
|
A135185
|
|
Triangle read by rows: E. F. Cornelius Jr. and Phill Schultz-based polynomials for the D_n Cartan Matrices in sequence A129862 that give a triangular sequence.
|
|
0
|
|
|
|
1, 2, -4, 1, -4, 4, 2, -11, 19, -4, 12, -82, 142, -84, 4, 288, -2208, 4142, -2262, 422, -4, 34560, -277056, 566448, -327528, 49938, -2504, 4, 24883200, -202141440, 427397472, -267303264, 44330580, -1580666, 17368, -4, 125411328000, -1021977907200, 2179398320640, -1397599077312
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
These polynomials are suggested by Corollary 2.4 in the E. F. Cornelius Jr. and Phill Schultz paper.
It appears that many other fundamental matrix sequences can be related to these Cornelius-Schultz polynomials by a similar treatment.
Here a factor of 4 was necessary to convert them all to integer form.
|
|
|
LINKS
|
Table of n, a(n) for n=1..40.
E. F. Cornelius Jr. and Phill Schultz, Sequences Generated by Polynomials, The American Mathematical Monthly, Vol. 115, No. 2 (Feb., 2008), pp. 154-158.
|
|
|
EXAMPLE
|
{1},
{2, -4},
{1, -4, 4},
{2, -11, 19, -4},
{12, -82, 142, -84, 4},
{288, -2208, 4142, -2262, 422, -4},
{34560, -277056, 566448, -327528, 49938, -2504, 4},
{24883200, -202141440, 427397472, -267303264, 44330580, -1580666, 17368, -4},
|
|
|
CROSSREFS
|
Cf. A129862.
Sequence in context: A014176 A317690 A060047 * A289460 A201774 A011029
Adjacent sequences: A135182 A135183 A135184 * A135186 A135187 A135188
|
|
|
KEYWORD
|
uned,sign,tabl
|
|
|
AUTHOR
|
Roger L. Bagula, Feb 04 2008
|
|
|
STATUS
|
approved
|
| |
|
|
