A017881 Expansion of 1/(1 - x^9 - x^10 - x^11 - x^12 - x^13 - x^14).

1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 3, 4, 5, 6, 5, 4, 3, 3, 4, 6, 10, 15, 21, 25, 27, 27, 26, 25, 25, 30, 41, 59, 81, 104, 125, 141, 151, 155, 160, 174, 206, 261, 340, 440, 551, 661, 757, 836, 906, 987

Offset

0,20

Comments

Number of compositions (ordered partitions) of n into parts 9, 10, 11, 12, 13 and 14. - Ilya Gutkovskiy, May 27 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, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1).

Formula

a(0)=1, a(1)=a(2)=a(3)=a(4)=a(5)=a(6)=a(7)=a(8)=0, a(9)=a(10)=a(11)=a(12)=a(13)=1, a(n) = a(n-9) + a(n-10) + a(n-11) + a(n-12) + a(n-13) + a(n-14). - Harvey P. Dale, Feb 27 2012

Mathematica

CoefficientList[Series[1/(1-Total[x^Range[9, 14]]), {x, 0, 60}], x](* or *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1}, 60] (* Harvey P. Dale, Feb 27 2012 *)

Crossrefs

Sequence in context: A232240 A073793 A017891 * A017871 A366259 A354153

Adjacent sequences: A017878 A017879 A017880 * A017882 A017883 A017884

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved