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A147990 Array A147985 (Polynomial coefficients) with zeros deleted. 6
1, 1, -1, 1, -3, 1, 1, -7, 13, -7, 1, 1, -15, 83, -220, 303, -220, 83, -15, 1, 1, -31, 413, -3141, 15261, -50187, 115410, -189036, 222621, -189036, 115410, -50187, 15261, -3141, 413, -31, 1, 1, -63, 1839, -33150, 414861, -3841195, 27378213, -154299168 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
LINKS
Clark Kimberling, Polynomials associated with reciprocation, JIS 12 (2009) 09.3.4
FORMULA
Let s(1)=x and for n>=2, let s(n)=s(n,x)=S(n,y), where y=x^(1/2) and S(n,x)
is as at A147985. Then A147990 gives the coefficients of the polynomials s(n).
EXAMPLE
s(1)=x
s(2)=S(2,y)=x-1
s(3)=S(3,y)=x^2-3*x+1
s(4)=S(4,y)=x^4-7*x^3+13*x^2-7*x+1
so that as an array A147990 begins with
1
1 -1
1 -3 1
1 -7 13 -7 1
CROSSREFS
Sequence in context: A353532 A049290 A297191 * A134567 A131932 A016462
KEYWORD
sign,tabl
AUTHOR
Clark Kimberling, Nov 25 2008
STATUS
approved

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Last modified April 18 13:10 EDT 2024. Contains 371780 sequences. (Running on oeis4.)