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Search: id:A135185
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| A135185 |
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E.F.Cornelius Jr.and Phill Schultz based polynomials for the D_n Cartan Matrices in sequence A129862 that give a triangular sequence. |
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1
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| 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; graph; listen)
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OFFSET
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1,2
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COMMENT
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These polynomials are suggested by Corollary 2.4 in the
E.F.Cornelius Jr.and Phill Schultz paper.
It appears that a lot of other fundamental matrix
sequences can be related to these Cornelius-Schultz
polynomial by a similar treatment.
Here a factor of 4 was necessary to convert them all to integer form.
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REFERENCES
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http : // www.maa.org/pubs/monthly_feb08_toc.html; Sequences Generated by Polynomials By : E.F.Cornelius Jr.and Phill Schultz efcornelius(AT)comcast.net, schultz(AT)maths.uwa.edu.au;
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EXAMPLE
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{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},
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CROSSREFS
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Cf. A129862.
Adjacent sequences: A135182 A135183 A135184 this_sequence A135186 A135187 A135188
Sequence in context: A011167 A014176 A060047 this_sequence A011029 A085111 A126126
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KEYWORD
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uned,sign
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 04 2008
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