login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A357892 T(n,k) are the values of a variant of the Chebyshev polynomials P(n,x) of order n evaluated at x = k, where T(n,k), n >= 0, k <= n is a triangle read by rows. P(0,x) = 1, P(1,x) = x, P(n,x) = x*P(n-1,x) - P(n-2,x). 0
1, 0, 1, -1, 0, 3, 0, -1, 4, 21, 1, -1, 5, 55, 209, 0, 0, 6, 144, 780, 2640, -1, 1, 7, 377, 2911, 12649, 40391, 0, 1, 8, 987, 10864, 60605, 235416, 726103, 1, 0, 9, 2584, 40545, 290376, 1372105, 4976784, 15003009, 0, -1, 10, 6765, 151316, 1391275, 7997214, 34111385, 118118440, 350382231 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,6
LINKS
EXAMPLE
The triangle begins:
1;
0, 1;
-1, 0, 3;
0, -1, 4, 21;
1, -1, 5, 55, 209;
0, 0, 6, 144, 780, 2640;
-1, 1, 7, 377, 2911, 12649, 40391;
0, 1, 8, 987, 10864, 60605, 235416, 726103
PROG
(PARI) chp(k, x) = if(k==0, 1, if(k==1, x, x*chp(k-1, x) - chp(k-2, x)));
for (k=0, 9, for(x=0, k, print1(ch(k, x), ", ")); print())
CROSSREFS
Cf. A001353 (column 4), A001906 (column 3), A097690 (diagonal).
Sequence in context: A079520 A229001 A208981 * A261158 A207543 A191532
KEYWORD
sign,tabl
AUTHOR
Hugo Pfoertner, Oct 18 2022
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 10:22 EDT 2024. Contains 371967 sequences. (Running on oeis4.)