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A120446 Expansion of 1/(1-x-x^4-x^6). 1

%I #20 Mar 15 2024 10:06:21

%S 1,1,1,1,2,3,5,7,10,14,21,31,46,67,98,143,210,308,452,662,970,1421,

%T 2083,3053,4475,6558,9611,14085,20643,30254,44340,64983,95237,139576,

%U 204559,299796,439373,643932,943728,1383100,2027032,2970760,4353861,6380893

%N Expansion of 1/(1-x-x^4-x^6).

%C Number of compositions of n into parts 1, 4, and 6. [_Joerg Arndt_, Sep 03 2013]

%H Vincenzo Librandi, <a href="/A120446/b120446.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,1,0,1).

%F a(n) = a(n-1) + a(n-4) + a(n-6).

%t CoefficientList[Series[1 / (1 - x - x^4 - x^6), {x, 0, 50}], x] (* _Vincenzo Librandi_, Sep 03 2013 *)

%t LinearRecurrence[{1,0,0,1,0,1},{1,1,1,1,2,3},50] (* _Harvey P. Dale_, Feb 11 2020 *)

%o (Magma) I:=[1,1,1,1,2,3]; [n le 6 select I[n] else Self(n-1)+Self(n-4)+Self(n-6): n in [1..50]]; // _Vincenzo Librandi_, Sep 03 2013

%K easy,nonn,changed

%O 0,5

%A _Jon E. Schoenfield_, Aug 27 2006

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)