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A029075 Expansion of 1/((1-x)(1-x^4)(1-x^7)(1-x^10)). 0

%I

%S 1,1,1,1,2,2,2,3,4,4,5,6,7,7,9,10,11,12,14,15,17,19,21,22,25,27,29,31,

%T 35,37,40,43,47,49,53,57,61,64,69,73,78,82,88,92,98,103,109,114,121,

%U 127,134,140,148,154,162,169

%N Expansion of 1/((1-x)(1-x^4)(1-x^7)(1-x^10)).

%C Number of partitions of n into parts 1, 4, 7 and 10. - _Ilya Gutkovskiy_, May 18 2017

%H <a href="/index/Rec#order_22">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 1, -1, 0, 1, -1, 0, 1, -2, 1, 0, -1, 1, 0, -1, 1, 0, 0, 1, -1).

%t CoefficientList[Series[1/((1-x)(1-x^4)(1-x^7)(1-x^10)),{x,0,60}],x] (* or *) LinearRecurrence[{1,0,0,1,-1,0,1,-1,0,1,-2,1,0,-1,1,0,-1,1,0,0,1,-1},{1,1,1,1,2,2,2,3,4,4,5,6,7,7,9,10,11,12,14,15,17,19},60] (* _Harvey P. Dale_, Mar 06 2017 *)

%K nonn

%O 0,5

%A _N. J. A. Sloane_.

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Last modified August 4 21:21 EDT 2021. Contains 346455 sequences. (Running on oeis4.)