

A310640


Coordination sequence Gal.6.527.2 where G.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of uuniform tilings.


0



1, 4, 6, 14, 17, 21, 28, 28, 36, 36, 44, 47, 51, 58, 58, 66, 66, 74, 77, 81, 88, 88, 96, 96, 104, 107, 111, 118, 118, 126, 126, 134, 137, 141, 148, 148, 156, 156, 164, 167, 171, 178, 178, 186, 186, 194, 197, 201, 208, 208
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,2


COMMENTS

Note that there may be other vertices in the Galebach list of uuniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of Anumbers for all these tilings.
Conjectures: for k >= 1, a(7*k1) = a(7*k) = 28 + (k1)*30 and a(7*k+1) = a(7*k+2) = 36 + (k1)*30.  Bernard Schott, Dec 24 2019


LINKS



FORMULA

a(n) = a(n1) + a(n7)  a(n8) for n > 9.
G.f.: (2*x^9 + 5*x^8  x^7 + 7*x^6 + 4*x^5 + 3*x^4 + 8*x^3 + 2*x^2 + 3*x + 1)/(x^8  x^7  x + 1). (End)


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



