

A135185


Triangle read by rows: E. F. Cornelius Jr. and Phill Schultzbased 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
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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 CorneliusSchultz 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. 154158.


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



