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Coordination sequence for the hypertriangular lattice.
2

%I #16 Feb 24 2022 22:57:57

%S 1,6,24,48,86,138,192,260,348,432,530,654,768,896,1056,1200,1358,1554,

%T 1728,1916,2148,2352,2570,2838,3072,3320,3624,3888,4166,4506,4800,

%U 5108,5484,5808,6146,6558,6912,7280,7728,8112,8510,8994,9408,9836,10356,10800

%N Coordination sequence for the hypertriangular lattice.

%H Reticular Chemistry Structure Resource (RCSR), <a href="http://rcsr.net/nets/lcy">The lcy net</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,2,-2,0,-1,1).

%F G.f.: (1+5*x+18*x^2+22*x^3+28*x^4+16*x^5+7*x^6-3*x^7+2*x^8) / ((x^2+x+1)^2 * (1-x)^3).

%Y Cf. A046945, A344039, A344070, A005901, A038620.

%K nonn,easy

%O 0,2

%A _Sean A. Irvine_, May 09 2021