|
Search: id:A097830
|
|
|
| A097830 |
|
Partial sums of Chebyshev sequence S(n,16)= U(n,16/2)= A077412(n). |
|
+0
2
|
|
| 1, 17, 272, 4336, 69105, 1101345, 17552416, 279737312, 4458244577, 71052175921, 1132376570160, 18046972946640, 287619190576081, 4583860076270657, 73054142029754432, 1164282412399800256, 18555464456367049665
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
LINKS
|
Index entries for sequences relate d to Chebyshev polynomials.
|
|
FORMULA
|
a(n)= sum(S(k, 16), k=0..n) with S(k, 16)=U(k, 8)=A077412(k) Chebyshev's polynomials of the second kind.
G.f.: 1/((1-x)*(1-16*x+x^2)) = 1/(1-17*x+17*x^2-x^3).
a(n)=17*a(n-1)-17*a(n-2)+a(n-3), n>=2, a(-1):=0, a(0)=1, a(1)=17.
a(n)=16*a(n-1)-a(n-2)+1, n>=1, a(-1):=0, a(0)=1.
a(n)=(S(n+1, 16) - S(n, 16) -1)/14.
|
|
CROSSREFS
|
Sequence in context: A090380 A142898 A159678 this_sequence A131865 A031417 A029811
Adjacent sequences: A097827 A097828 A097829 this_sequence A097831 A097832 A097833
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Aug 31 2004
|
|
|
Search completed in 0.002 seconds
|
