|
| |
|
|
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; 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
| 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 (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Apr 04 2007
|
| |
|
|
