A017852 Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12).

1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 11, 14, 18, 23, 30, 37, 46, 57, 71, 89, 113, 142, 179, 225, 282, 353, 443, 555, 697, 876, 1101, 1383, 1737, 2179, 2734, 3431, 4307, 5408, 6792, 8528, 10707

Offset

0,13

Comments

Number of compositions of n into parts p where 6 <= p <= 12. [Joerg Arndt, Jun 28 2013]

Links

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

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

Formula

a(n) = a(n-6) +a(n-7) +a(n-8) +a(n-9) +a(n-10) +a(n-11) +a(n-12) for n>11. - Vincenzo Librandi, Jun 28 2013

Mathematica

CoefficientList[Series[1 / (1 - Total[x^Range[6, 12]]), {x, 0, 60}], x] (* Vincenzo Librandi, Jun 28 2013 *)

Prog

(Magma) m:=70; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12))); /* or */ I:=[1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1]; [n le 12 select I[n] else Self(n-6)+Self(n-7)+Self(n-8)+Self(n-9)+Self(n-10)+Self(n-11)+Self(n-12): n in [1..70]]; // Vincenzo Librandi, Jun 28 2013

Crossrefs

Sequence in context: A067659 A261772 A153156 * A340751 A319069 A029013

Adjacent sequences: A017849 A017850 A017851 * A017853 A017854 A017855

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved