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A029279 Expansion of 1/((1-x^3)(1-x^5)(1-x^7)(1-x^10)). 1

%I #9 Oct 05 2015 13:46:31

%S 1,0,0,1,0,1,1,1,1,1,3,1,2,3,2,4,3,4,4,4,7,5,6,7,7,9,8,10,10,10,14,12,

%T 13,15,15,18,17,19,20,20,25,23,25,27,27,32,30,33,35,35,41,39,42,44,45,

%U 51,49,53,55,56,63,61,65

%N Expansion of 1/((1-x^3)(1-x^5)(1-x^7)(1-x^10)).

%C Number of partitions of n into parts 3, 5, 7, and 10. - _Vincenzo Librandi_, Jun 03 2014

%H Vincenzo Librandi, <a href="/A029279/b029279.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_25">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 1, 0, 1, 0, 1, -1, 0, 0, 0, -1, -1, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, -1).

%t CoefficientList[Series[1/((1 - x^3) (1 - x^5) (1 - x^7) (1 - x^10)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 03 2014 *)

%t LinearRecurrence[{0,0,1,0,1,0,1,-1,0,0,0,-1,-1,0,0,0,-1,1,0,1,0,1,0,0,-1},{1,0,0,1,0,1,1,1,1,1,3,1,2,3,2,4,3,4,4,4,7,5,6,7,7},70] (* _Harvey P. Dale_, Oct 05 2015 *)

%K nonn,easy

%O 0,11

%A _N. J. A. Sloane_.

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)