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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
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
KEYWORD
uned,sign,tabl
AUTHOR
Roger L. Bagula, Feb 04 2008
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)