A017842 Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11).

1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 4, 5, 7, 10, 12, 15, 19, 25, 34, 44, 56, 72, 93, 122, 159, 205, 265, 343, 446, 580, 751, 972, 1259, 1633, 2120, 2749, 3562, 4616, 5984, 7761, 10064, 13046, 16911, 21923, 28425

Offset

0,11

Comments

Number of compositions of n into parts p where 5 <= p <= 11. [Joerg Arndt, Jun 27 2013]

Links

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

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

Formula

a(n) = 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[5, 11]]), {x, 0, 50}], x] (* Vincenzo Librandi, Jun 27 2013 *)
LinearRecurrence[{0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2}, 50] (* Harvey P. Dale, Feb 21 2022 *)

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-x^11))); /* or */ I:=[1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2]; [n le 11 select I[n] else Self(n-5)+Self(n-6)+Self(n-7)+Self(n-8)+Self(n-9)+Self(n-10)+Self(n-11): n in [1..70]]; // Vincenzo Librandi, Jun 27 2013

Crossrefs

Sequence in context: A094979 A065565 A309795 * A157725 A372592 A238394

Adjacent sequences: A017839 A017840 A017841 * A017843 A017844 A017845

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved