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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A128497 Coefficient table for sums over product of adjacent Chebyshev S-polynomials. 1
1, 0, 1, 2, -2, 1, 0, 5, -4, 1, 3, -8, 12, -6, 1, 0, 14, -28, 23, -8, 1, 4, -20, 58, -68, 38, -10, 1, 0, 30, -108, 171, -136, 57, -12, 1, 5, -40, 188, -382, 405, -240, 80, -14, 1, 0, 55, -308, 781, -1056, 828, -388, 107, -16, 1, 6, -70, 483, -1488, 2488, -2472, 1524, -588, 138, -18, 1, 0, 91, -728, 2678, -5408 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

See A049310 for the coefficient table of Chebyshev's S(n,x)=U(n,x/2) polynomials.

See A128495 for the sums of squares of Chebyshev's S-polynomials.

LINKS

Table of n, a(n) for n=0..70.

W. Lang, First 15 rows.

FORMULA

sum(S(k,x)*S(k+1,x)/x,k=0..n)= sum(a(n,m)*x^(2*m),m=0..n).

EXAMPLE

1;

0,1;

2,-2,1;

0,5,-4,1;

3,-8,12,-6,1;

0,14,-28,23,-8,1;

...

CROSSREFS

Row sums (signed) look like A008620. Row sums (unsigned) look like |A077916|.

Sequence in context: A107267 A191239 A112161 * A011434 A147746 A059365

Adjacent sequences:  A128494 A128495 A128496 * A128498 A128499 A128500

KEYWORD

sign,tabl,easy

AUTHOR

Wolfdieter Lang Apr 04 2007

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 17 01:30 EDT 2018. Contains 316275 sequences. (Running on oeis4.)