login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A076626 Array of coefficients of polynomials p(n,x)=2^(n-1)*prod(i=0,n,x-cos(i*Pi/n)) of degree (n+1) with P(-1,x)) = 1, P(0,x) = 0 . 1
1, 0, 0, -1, 0, 1, 0, -2, 0, 2, 1, 0, -5, 0, 4, 0, 4, 0, -12, 0, 8, -1, 0, 13, 0, -28, 0, 16, 0, -6, 0, 38, 0, -64, 0, 32, 1, 0, -25, 0, 104, 0, -144, 0, 64, 0, 8, 0, -88, 0, 272, 0, -320, 0, 128, -1, 0, 41, 0, -280, 0, 688, 0, -704, 0, 256, 0, -10, 0, 170, 0, -832, 0, 1696, 0, -1536, 0, 512, 1, 0, -61, 0, 620, 0, -2352, 0, 4096, 0, -3328, 0, 1024 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

Mirror image of triangle in A201863.- Philippe Deléham, Dec 07 2011

LINKS

Table of n, a(n) for n=0..90.

FORMULA

T(n,k) = 2*T(n-1,k-1) - T(n-2,k). - Philippe Deléham, Dec 07 2011

EXAMPLE

p(4,x)= 8*x^5 - 12*x^3 +4*x hence 0,4,0,-12,0,8 are terms in the sequence

Triangle begins :

1

0, 0

-1, 0, 1

0, -2, 0, 2

1, 0, -5, 0, 4

0, 4, 0, -12, 0, 8

-1, 0, 13, 0, -28, 0, 16

0, -6, 0, 38, 0, -64, 0, 32

1, 0, -25, 0, 104, 0, -144, 0, 64

- Philippe Deléham, Dec 07 2011

CROSSREFS

Cf. A201863, A201509

Sequence in context: A157030 A080844 A321428 * A182886 A108731 A235168

Adjacent sequences:  A076623 A076624 A076625 * A076627 A076628 A076629

KEYWORD

sign,tabl

AUTHOR

Benoit Cloitre, Oct 22 2002

EXTENSIONS

Definition corrected by Philippe Deléham, Dec 07 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 23 01:45 EST 2019. Contains 319365 sequences. (Running on oeis4.)