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Coordination sequence for 45-dimensional cubic lattice.
2

%I #18 Aug 28 2018 10:45:36

%S 1,90,4050,121530,2736450,49329018,741759570,9572143770,108242937090,

%T 1089874371610,9895463694162,81854600165370,622155720985410,

%U 4376493499269690,28667877399006930,175800225426741978,1013960660749554690

%N Coordination sequence for 45-dimensional cubic lattice.

%H Seiichi Manyama, <a href="/A035740/b035740.txt">Table of n, a(n) for n = 0..10000</a>

%H J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://neilsloane.com/doc/Me220.pdf">pdf</a>).

%H Joan Serra-Sagrista, <a href="http://dx.doi.org/10.1016/S0020-0190(00)00119-8">Enumeration of lattice points in l_1 norm</a>, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.

%H <a href="/index/Rec#order_45">Index entries for linear recurrences with constant coefficients</a>, signature (45, -990, 14190, -148995, 1221759, -8145060, 45379620, -215553195, 886163135, -3190187286, 10150595910, -28760021745, 73006209045, -166871334960, 344867425584, -646626422970, 1103068603890, -1715884494940, 2438362177020, -3169870830126, 3773655750150, -4116715363800, 4116715363800, -3773655750150, 3169870830126, -2438362177020, 1715884494940, -1103068603890, 646626422970, -344867425584, 166871334960, -73006209045, 28760021745, -10150595910, 3190187286, -886163135, 215553195, -45379620, 8145060, -1221759, 148995, -14190, 990, -45, 1).

%F G.f.: ((1+x)/(1-x))^45.

%F n*a(n) = 90*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 28 2018

%K nonn,easy

%O 0,2

%A Joan Serra-Sagrista (jserra(AT)ccd.uab.es)

%E Recomputed by _N. J. A. Sloane_, Nov 25 1998