login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A097333 Sum k=0..n, C(n-k, floor(k/2)). 18
1, 2, 2, 3, 5, 7, 10, 15, 22, 32, 47, 69, 101, 148, 217, 318, 466, 683, 1001, 1467, 2150, 3151, 4618, 6768, 9919, 14537, 21305, 31224, 45761, 67066, 98290, 144051, 211117, 309407, 453458, 664575, 973982, 1427440, 2092015, 3065997, 4493437, 6585452 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Partial sums of A058278.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (1,0,1).

FORMULA

G.f. : (1+x-x^2-x^3)/((1-x)(1-x^2-x^3-x^4)) = (1+x)/(1-x-x^3);

a(n) = a(n-1) + a(n-3);

a(n) = a(n-1) + a(n-2) - a(n-5).

MATHEMATICA

LinearRecurrence[{1, 0, 1}, {1, 2, 2}, 70] (* Vladimir Joseph Stephan Orlovsky, Feb 26 2011*)

CROSSREFS

Cf. A003410.

Sequence in context: A180158 A173693 A058278 * A001083 A173696 A120412

Adjacent sequences:  A097330 A097331 A097332 * A097334 A097335 A097336

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Aug 05 2004

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 22 08:57 EST 2017. Contains 295076 sequences.