A017833 Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11).

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

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

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

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

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

Adjacent sequences: A017830 A017831 A017832 * A017834 A017835 A017836

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved