A147990 Array A147985 (Polynomial coefficients) with zeros deleted.

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

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: A353532 A049290 A297191 * A134567 A131932 A016462

Adjacent sequences: A147987 A147988 A147989 * A147991 A147992 A147993

Keyword

sign,tabl

Author

Clark Kimberling, Nov 25 2008

Status

approved