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!)
A017833 Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11). 1
1, 0, 0, 0, 1, 1, 1, 1, 2, 3, 4, 5, 6, 9, 13, 18, 23, 31, 43, 60, 81, 109, 148, 203, 278, 378, 513, 698, 953, 1300, 1770, 2408, 3280, 4471, 6093, 8298, 11300, 15393, 20973, 28573, 38920, 53013, 72216, 98381, 134021 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,9
COMMENTS
Number of compositions (ordered partitions) of n into parts 4, 5, 6, 7, 8, 9, 10 and 11. - Ilya Gutkovskiy, May 25 2017
LINKS
FORMULA
a(n) = a(n-4) +a(n-5) +a(n-6) +a(n-7) +a(n-8) +a(n-9) +a(n-10) +a(n-11) for n>10. - Vincenzo Librandi, Jun 27 2013
MATHEMATICA
CoefficientList[Series[1 / (1 - Total[x^Range[4, 11]]), {x, 0, 50}], x] (* Vincenzo Librandi, Jun 27 2013 *)
LinearRecurrence[{0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 1, 1, 1, 1, 2, 3, 4}, 50] (* Harvey P. Dale, Jul 05 2022 *)
PROG
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11))); // Vincenzo Librandi, Jun 27 2013
CROSSREFS
Sequence in context: A105859 A200445 A255362 * A114044 A351724 A113444
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 24 23:50 EDT 2024. Contains 372782 sequences. (Running on oeis4.)