|
Search: id:A097784
|
|
|
| A097784 |
|
Partial sums of Chebyshev sequence S(n,10)= U(n,5)= A004189(n+1). |
|
+0
7
|
|
| 1, 11, 110, 1090, 10791, 106821, 1057420, 10467380, 103616381, 1025696431, 10153347930, 100507782870, 994924480771, 9848737024841, 97492445767640, 965075720651560, 9553264760747961, 94567571886828051, 936122454107532550
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
LINKS
|
Index entries for sequences relate d to Chebyshev polynomials.
|
|
FORMULA
|
a(n)= sum(S(k, 10), k=0..n) with S(k, 10)=U(k, 5)= A004189(k+1) Chebyshev's polynomials of the second kind.
G.f.: 1/((1-x)*(1-10*x+x^2)) = 1/(1-11*x+11*x^2-x^3).
a(n)=11*a(n-1)-11*a(n-2)+a(n-3), n>=2, a(-1):=0, a(0)=1, a(1)=11.
a(n)=10*a(n-1)-a(n-2)+1, n>=1, a(-1):=0, a(0)=1.
a(n)=(S(n+1, 10) - S(n, 10) -1)/8.
|
|
CROSSREFS
|
Sequence in context: A044343 A132123 A115822 this_sequence A121031 A115804 A115808
Adjacent sequences: A097781 A097782 A097783 this_sequence A097785 A097786 A097787
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Aug 31 2004
|
|
|
Search completed in 0.002 seconds
|
