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A225501 Expansion of 1/(1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12).

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%I A225501 #15 Jun 13 2025 07:42:14
%S A225501 1,0,0,0,1,1,1,1,2,2,3,4,5,7,9,12,15,20,27,36,46,61,80,106,139,183,
%T A225501 241,317,417,549,722,950,1251,1646,2166,2849,3750,4935,6494,8545,
%U A225501 11245,14797,19472,25623,33718,44370,58387
%N A225501 Expansion of 1/(1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12).
%C A225501 Limiting ratio is 1.3159144319259473..., the largest real root of 1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12.
%H A225501 G. C. Greubel, <a href="/A225501/b225501.txt">Table of n, a(n) for n = 0..1000</a>
%H A225501 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1,1,1,1,1,0,0,0,-1).
%t A225501 CoefficientList[Series[1/(1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12), {x, 0, 50}], x]
%t A225501 LinearRecurrence[{0,0,0,1,1,1,1,1,0,0,0,-1}, {1,0,0,0,1,1,1,1,2,2,3,4}, 50] (* _G. C. Greubel_, Nov 16 2016 *)
%o A225501 (PARI) Vec(1/(1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12) + O(x^50)) \\ _G. C. Greubel_, Nov 16 2016
%Y A225501 Cf. A117791, A107293, A204631, A225391, A225499, A225500.
%K A225501 nonn,easy
%O A225501 0,9
%A A225501 _Roger L. Bagula_, May 09 2013