A344126 Coordination sequence for the hypertriangular lattice.

1, 6, 24, 48, 86, 138, 192, 260, 348, 432, 530, 654, 768, 896, 1056, 1200, 1358, 1554, 1728, 1916, 2148, 2352, 2570, 2838, 3072, 3320, 3624, 3888, 4166, 4506, 4800, 5108, 5484, 5808, 6146, 6558, 6912, 7280, 7728, 8112, 8510, 8994, 9408, 9836, 10356, 10800

Offset

0,2

Links

Table of n, a(n) for n=0..45.

Reticular Chemistry Structure Resource (RCSR), The lcy net

Index entries for linear recurrences with constant coefficients, signature (1,0,2,-2,0,-1,1).

Formula

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).

Crossrefs

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

Sequence in context: A362803 A083212 A120572 * A000056 A083170 A087081

Adjacent sequences: A344123 A344124 A344125 * A344127 A344128 A344129

Keyword

nonn,easy

Author

Sean A. Irvine, May 09 2021

Status

approved