The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A017841 Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10). 1
1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 7, 8, 10, 13, 17, 23, 29, 37, 47, 60, 78, 100, 129, 166, 213, 274, 351, 451, 580, 746, 960, 1233, 1584, 2035, 2615, 3362, 4321, 5554, 7138, 9173, 11789, 15150, 19471, 25025 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,11
COMMENTS
Number of compositions of n into parts p where 5 <= p <= 10. [Joerg Arndt, Jun 27 2013]
LINKS
FORMULA
a(n) = a(n-5)+a(n-6)+a(n-7)+a(n-8)+a(n-9)+a(n-10), for n>9. - Vincenzo Librandi, Jun 27 2013
MATHEMATICA
CoefficientList[Series[1 / (1 - Total[x^Range[5, 10]]), {x, 0, 50}], x] (* Vincenzo Librandi, Jun 27 2013 *)
LinearRecurrence[{0, 0, 0, 0, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 1}, 50] (* Robert G. Wilson v, Jun 27 2013 *)
PROG
(Magma) m:=60; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^5-x^6-x^7-x^8-x^9-x^10))); /* or */ I:=[1, 0, 0, 0, 0, 1, 1, 1, 1, 1]; [n le 10 select I[n] else Self(n-5)+Self(n-6)+Self(n-7)+Self(n-8)+Self(n-9)+Self(n-10): n in [1..70]]; // Vincenzo Librandi, Jun 27 2013
CROSSREFS
Sequence in context: A029012 A095699 A112192 * A304329 A111901 A316202
KEYWORD
nonn,easy
AUTHOR
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 May 25 09:14 EDT 2024. Contains 372786 sequences. (Running on oeis4.)