login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A341576 a(n) = Sum_{k=0..n} U_k((n-k)/2) where U_n(x) is a Chebyshev polynomial of the 2nd kind. 1
1, 1, 1, 3, 7, 16, 46, 149, 520, 1977, 8136, 35878, 168501, 838945, 4409957, 24385913, 141412615, 857611640, 5426144190, 35739397739, 244573978100, 1735854397529, 12757309001220, 96941738970956, 760649367654461, 6155205917196409, 51308394497243469 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..26.

Index entries for sequences related to Chebyshev polynomials.

MATHEMATICA

a[n_] := Sum[ChebyshevU[k, (n - k)/2], {k, 0, n}]; Array[a, 27, 0] (* Amiram Eldar, Mar 08 2021 *)

PROG

(PARI) a(n) = sum(k=0, n, polchebyshev(k, 2, (n-k)/2));

CROSSREFS

Cf. A101125, A323613.

Sequence in context: A217358 A323692 A005312 * A143817 A297210 A000963

Adjacent sequences:  A341573 A341574 A341575 * A341577 A341578 A341579

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Mar 08 2021

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 August 2 20:05 EDT 2021. Contains 346428 sequences. (Running on oeis4.)