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Search: id:A158986
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| A158986 |
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Coefficients of polynomials Q(n,x):=-2+(1+Q(n-1,x))^2, where Q(1,x)=x-2. |
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+0
5
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| 1, -2, 1, -2, -1, 1, -4, 4, 0, -2, 1, -8, 24, -32, 14, 8, 8, 0, -1, 1, -16, 112, -448, 1116, -1744, 1552, -384, -700, 736, -160, -128, 64, 0, 0, 0, -2, 1, -32, 480, -4480, 29112, -139552, 509600, -1441024, 3166616, -5345344, 6668992, -5473536, 1494624
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Let P(n,x) be the nth polynomial at A158984. Then
Q(n,x)=P(n-1,x)-1 is a factor of P(n,x).
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REFERENCES
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Clark Kimberling, "Polynomials defined by the recurrence" P(n+1)=(P(n)+c-a)^2 - c," preprint, 2009.
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EXAMPLE
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Row 1: 1 -2 (from x-2)
Row 2: 1 -2 -1 (from x^2-2x-1)
Row 3: 1 -4 4 0 -2
Row 4: 1 -8 24 -32 14 8 8 0 -1
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CROSSREFS
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A158982, A158983, A158984, A158985.
Sequence in context: A024680 A083531 A003417 this_sequence A079900 A117354 A140324
Adjacent sequences: A158983 A158984 A158985 this_sequence A158987 A158988 A158989
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KEYWORD
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sign,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Apr 02 2009
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