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Expansion of 1/((1-x)(1-x^4)(1-x^7)(1-x^12)).
1

%I #11 Jun 08 2019 18:50:07

%S 1,1,1,1,2,2,2,3,4,4,4,5,7,7,8,9,11,11,12,14,16,17,18,20,23,24,26,28,

%T 32,33,35,38,42,44,46,50,55,57,60,64,70,72,76,81,87,90,94,100,107,111,

%U 116,122,130,134,140,147,156,161,167,175,185,191,198,207,218

%N Expansion of 1/((1-x)(1-x^4)(1-x^7)(1-x^12)).

%C Number of partitions of n into parts 1, 4, 7 and 12. - _Ilya Gutkovskiy_, May 18 2017

%H Harvey P. Dale, <a href="/A029077/b029077.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,1,-1,0,1,-1,0,0,-1,2,-1,0,0,-1,1,0,-1,1,0,0,1,-1).

%t CoefficientList[Series[1/((1-x)(1-x^4)(1-x^7)(1-x^12)),{x,0,80}],x] (* or *) LinearRecurrence[{1,0,0,1,-1,0,1,-1,0,0,-1,2,-1,0,0,-1,1,0,-1,1,0,0,1,-1},{1,1,1,1,2,2,2,3,4,4,4,5,7,7,8,9,11,11,12,14,16,17,18,20},80] (* _Harvey P. Dale_, Jun 08 2019 *)

%K nonn

%O 0,5

%A _N. J. A. Sloane_.