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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

Table of n, a(n) for n=1..45.

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

Cf. A147985, A147986, A147987, A147988, A147989, A147991, A147992, A147993.

Sequence in context: A210574 A049290 A297191 * A134567 A131932 A016462

Adjacent sequences:  A147987 A147988 A147989 * A147991 A147992 A147993

KEYWORD

sign,tabl

AUTHOR

Clark Kimberling, Nov 25 2008

STATUS

approved

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Last modified July 17 08:42 EDT 2019. Contains 325098 sequences. (Running on oeis4.)