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 A184258 Number of strings of numbers x(i=1..3) in 0..n with sum i^3*x(i) equal to 27*n. 1

%I

%S 1,1,2,2,2,3,3,3,4,5,6,7,8,9,10,11,12,13,15,17,18,20,22,23,25,27,30,

%T 32,34,37,39,41,44,46,48,51,54,57,60,63,66,69,72,75,78,82,86,89,93,97,

%U 100,104,108,113,117,121,126,130,134,139,143,147,152,157,162,167,172,177,182

%N Number of strings of numbers x(i=1..3) in 0..n with sum i^3*x(i) equal to 27*n.

%C Row 3 of A184257.

%H R. H. Hardin, <a href="/A184258/b184258.txt">Table of n, a(n) for n = 1..998</a>

%F Empirical: a(n) = 2*a(n-1) - a(n-2) + a(n-27) - 2*a(n-28) + a(n-29).

%F Empirical g.f.: x*(1 - x + x^2 - x^3 + x^5 - x^6 + x^8 + x^18 - x^20 + x^21 - x^23 + x^24 + x^26 - 2*x^27 + x^28) / ((1 - x)^3*(1 + x + x^2)*(1 + x^3 + x^6)*(1 + x^9 + x^18)). - _Colin Barker_, Apr 12 2018

%e All solutions for n=5:

%e ..3....0

%e ..3....0

%e ..4....5

%Y Cf. A184257.

%K nonn

%O 1,3

%A _R. H. Hardin_, Jan 10 2011

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Last modified December 9 04:13 EST 2022. Contains 358698 sequences. (Running on oeis4.)