A017844 - OEIS

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A017844

Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).

1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 4, 5, 5, 7, 10, 14, 19, 23, 29, 38, 51, 69, 90, 116, 150, 196, 260, 343, 449, 585, 762, 999, 1313, 1724, 2258, 2951, 3860, 5057, 6631, 8693, 11384, 14901, 19509, 25555, 33486

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OFFSET

0,11

COMMENTS

Number of compositions of n into parts p where 5 <= p <= 13. [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).

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) for n>12. - Vincenzo Librandi, Jun 27 2013

MATHEMATICA

CoefficientList[Series[1 / (1 - Total[x^Range[5, 13]]), {x, 0, 60}], x] (* Vincenzo Librandi, Jun 27 2013 *)

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))); /* or */ 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))); // Vincenzo Librandi, Jun 27 2013

CROSSREFS

Sequence in context: A343127 A094017 A092762 * A377482 A303655 A011156

Adjacent sequences: A017841 A017842 A017843 * A017845 A017846 A017847

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved