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A035732 Coordination sequence for 37-dimensional cubic lattice. 2

%I #20 Sep 23 2021 19:48:02

%S 1,74,2738,67562,1251266,18559274,229731890,2441850890,22759419650,

%T 189032223370,1417045988658,9687517561002,60920563283394,

%U 354975721241706,1928517866520498,9821667099910602,47112663470291970

%N Coordination sequence for 37-dimensional cubic lattice.

%H Seiichi Manyama, <a href="/A035732/b035732.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="https://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_37">Index entries for linear recurrences with constant coefficients</a>, signature (37, -666, 7770, -66045, 435897, -2324784, 10295472, -38608020, 124403620, -348330136, 854992152, -1852482996, 3562467300, -6107086800, 9364199760, -12875774670, 15905368710, -17672631900, 17672631900, -15905368710, 12875774670, -9364199760, 6107086800, -3562467300, 1852482996, -854992152, 348330136, -124403620, 38608020, -10295472, 2324784, -435897, 66045, -7770, 666, -37, 1).

%F G.f.: ((1+x)/(1-x))^37.

%F n*a(n) = 74*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 24 2018

%t CoefficientList[Series[((1+x)/(1-x))^37,{x,0,20}],x] (* _Harvey P. Dale_, Sep 23 2021 *)

%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

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Last modified April 24 09:18 EDT 2024. Contains 371935 sequences. (Running on oeis4.)