A360512 Total number of edges after n generations in hexagonal graph constructed in first quadrant (see Comments in A360501 for precise definition).

0, 1, 2, 4, 8, 13, 19, 26, 34, 44, 54, 66, 78, 93, 107, 124, 140, 160, 178, 200, 220, 245, 267, 294, 318, 348, 374, 406, 434, 469, 499, 536, 568, 608, 642, 684, 720, 765, 803, 850, 890, 940, 982, 1034, 1078, 1133, 1179, 1236, 1284, 1344, 1394, 1456, 1508, 1573, 1627, 1694, 1750

Offset: 0

Author

N. J. A. Sloane, Feb 09 2023

Keywords

• nonn

Links

• N. J. A. Sloane, Generations 0 to 16 of the graph

Crossrefs

Partial sums of A360501.

Cf. A182632, A182838, A182840.

Formula

G.f. = x*(1+x+x^2+3*x^3+2*x^4+x^5+x^6-x^7)/((1-x)*(1-x^2)*(1-x^4)).