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A178124 Coefficient array of orthogonal polynomials P(n,x)=(x-n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-1. 1
1, -1, 1, 1, -3, 1, 0, 7, -6, 1, -5, -13, 26, -10, 1, 25, 11, -101, 69, -15, 1, -105, 76, 383, -425, 150, -21, 1, 460, -758, -1494, 2599, -1310, 286, -28, 1, -2315, 5536, 6215, -16761, 11129, -3325, 497, -36, 1, 13935, -40769, -27989, 118079, -97272, 36764 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Inverse is A178125.

LINKS

Table of n, a(n) for n=0..50.

EXAMPLE

Triangle begins

1,

-1, 1,

1, -3, 1,

0, 7, -6, 1,

-5, -13, 26, -10, 1,

25, 11, -101, 69, -15, 1,

-105, 76, 383, -425, 150, -21, 1,

460, -758, -1494, 2599, -1310, 286, -28, 1,

-2315, 5536, 6215, -16761, 11129, -3325, 497, -36, 1

Production matrix of inverse is

1, 1,

1, 2, 1,

0, 3, 3, 1,

0, 0, 5, 4, 1,

0, 0, 0, 7, 5, 1,

0, 0, 0, 0, 9, 6, 1,

0, 0, 0, 0, 0, 11, 7, 1,

0, 0, 0, 0, 0, 0, 13, 8, 1,

0, 0, 0, 0, 0, 0, 0, 15, 9, 1

CROSSREFS

Sequence in context: A110504 A111246 A206306 * A143395 A090536 A187557

Adjacent sequences:  A178121 A178122 A178123 * A178125 A178126 A178127

KEYWORD

sign,tabl

AUTHOR

Paul Barry, May 20 2010

STATUS

approved

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Last modified December 11 05:07 EST 2016. Contains 279034 sequences.