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A017845 Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14). 1
1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 10, 14, 19, 25, 31, 40, 53, 71, 95, 124, 161, 210, 276, 365, 482, 633, 829, 1086, 1426, 1877, 2470, 3246, 4261, 5592, 7345, 9654, 12690, 16675, 21902, 28765, 37786 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

COMMENTS

Number of compositions of n into parts p where  5 <= p <= 14. [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 (0,0,0,0,1,1,1,1,1,1,1,1,1,1).

FORMULA

a(n) = a(n-5) +a(n-6) +a(n-7) +a(n-8) +a(n-9) +a(n-10) +a(n-11) +a(n-12) +a(n-13) +a(n-14) for n>13. - Vincenzo Librandi, Jun 27 2013

MATHEMATICA

CoefficientList[Series[1 / (1 - Total[x^Range[5, 14]]), {x, 0, 60}], x] (* Vincenzo Librandi, Jun 27 2013 *)

LinearRecurrence[{0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 4, 5}, 50] (* Harvey P. Dale, Apr 23 2016 *)

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-x^12-x^13-x^14))); /* or */ I:=[1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 4, 5]; [n le 14 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)+Self(n-12)+Self(n-13)+Self(n-14): n in [1..70]]; // Vincenzo Librandi, Jun 27 2013

CROSSREFS

Sequence in context: A008814 A005140 A176486 * A211698 A230016 A306110

Adjacent sequences:  A017842 A017843 A017844 * A017846 A017847 A017848

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 20 14:34 EDT 2019. Contains 325185 sequences. (Running on oeis4.)