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A321776 Number of compositions of n into parts with distinct multiplicities and with exactly six parts. 2

%I

%S 1,6,21,6,96,192,142,372,357,372,543,798,598,1098,1098,1044,1359,1764,

%T 1459,2184,2100,2130,2580,3090,2635,3576,3561,3576,4116,4776,4162,

%U 5382,5337,5382,6057,6768,6058,7548,7518,7548,8259,9174,8359,10074,10014,10020

%N Number of compositions of n into parts with distinct multiplicities and with exactly six parts.

%H Alois P. Heinz, <a href="/A321776/b321776.txt">Table of n, a(n) for n = 6..1000</a>

%F Conjectures from _Colin Barker_, Dec 11 2018: (Start)

%F G.f.: x^6*(1 + 7*x + 28*x^2 + 33*x^3 + 122*x^4 + 286*x^5 + 394*x^6 + 638*x^7 + 687*x^8 + 652*x^9 + 433*x^10 + 319*x^11) / ((1 - x)^3*(1 + x)^2*(1 - x + x^2)*(1 + x^2)*(1 + x + x^2)^2*(1 + x + x^2 + x^3 + x^4)).

%F a(n) = -a(n-1) - a(n-2) + a(n-4) + 2*a(n-5) + 3*a(n-6) + 2*a(n-7) + a(n-8) - a(n-9) - 2*a(n-10) - 3*a(n-11) - 2*a(n-12) - a(n-13) + a(n-15) + a(n-16) + a(n-17).

%F (End)

%Y Column k=6 of A242887.

%K nonn

%O 6,2

%A _Alois P. Heinz_, Nov 18 2018

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Last modified June 12 14:45 EDT 2021. Contains 344957 sequences. (Running on oeis4.)