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A029073 Expansion of 1/((1-x)(1-x^4)(1-x^7)(1-x^8)). 4


%S 1,1,1,1,2,2,2,3,5,5,5,6,8,8,9,11,14,14,15,17,20,21,23,26,30,31,33,36,

%T 41,43,46,50,56,58,61,66,73,76,80,86,94,97,102,109,118,122,128,136,

%U 146,151,158,167,178,184,192

%N Expansion of 1/((1-x)(1-x^4)(1-x^7)(1-x^8)).

%C Number of partitions of n into parts 1, 4, 7 and 8. - _Ilya Gutkovskiy_, May 18 2017

%D J. C. P. Miller, On the enumeration of partially ordered sets of integers, pp. 109-124 of T. P. McDonough and V. C. Mavron, editors, Combinatorics: Proceedings of the Fourth British Combinatorial Conference 1973. London Mathematical Society, Lecture Note Series, Number 13, Cambridge University Press, NY, 1974. The g.f. is G_{rot}(t) on page 122.

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,1,-1,0,1,0,-1,0,-1,0,1,0,-1,1,0,0,1,-1).

%p 1/( (1-x)*(1-x^4)*(1-x^7)*(1-x^8) );

%K nonn,easy

%O 0,5

%A _N. J. A. Sloane_.

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Last modified September 28 04:24 EDT 2021. Contains 347698 sequences. (Running on oeis4.)