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A017841
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Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10).
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1
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1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 7, 8, 10, 13, 17, 23, 29, 37, 47, 60, 78, 100, 129, 166, 213, 274, 351, 451, 580, 746, 960, 1233, 1584, 2035, 2615, 3362, 4321, 5554, 7138, 9173, 11789, 15150, 19471, 25025
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OFFSET
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0,11
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COMMENTS
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Number of compositions of n into parts p where 5 <= p <= 10. [Joerg Arndt, Jun 27 2013]
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1,1,1,1,1,1).
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FORMULA
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a(n) = a(n-5)+a(n-6)+a(n-7)+a(n-8)+a(n-9)+a(n-10), for n>9. - Vincenzo Librandi, Jun 27 2013
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MATHEMATICA
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CoefficientList[Series[1 / (1 - Total[x^Range[5, 10]]), {x, 0, 50}], x] (* Vincenzo Librandi, Jun 27 2013 *)
LinearRecurrence[{0, 0, 0, 0, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 1}, 50] (* Robert G. Wilson v, Jun 27 2013 *)
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PROG
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(Magma) m:=60; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^5-x^6-x^7-x^8-x^9-x^10))); /* or */ I:=[1, 0, 0, 0, 0, 1, 1, 1, 1, 1]; [n le 10 select I[n] else Self(n-5)+Self(n-6)+Self(n-7)+Self(n-8)+Self(n-9)+Self(n-10): n in [1..70]]; // Vincenzo Librandi, Jun 27 2013
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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