

A008706


Coordination sequence for 3.3.3.4.4 planar net.


27



1, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220
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OFFSET

0,2


COMMENTS

Also the Engel expansion of exp^(1/5); cf. A006784 for the Engel expansion definition.  Benoit Cloitre, Mar 03 2002


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Brian Galebach, kuniform tilings (k <= 6) and their Anumbers
C. GoodmanStrauss and N. J. A. Sloane, A Coloring Book Approach to Finding Coordination Sequences, arXiv:1803.08530, March 2018.
Branko Grünbaum and Geoffrey C. Shephard, Tilings by regular polygons, Mathematics Magazine, 50 (1977), 227247.
Reticular Chemistry Structure Resource, cem
N. J. A. Sloane, The uniform planar nets and their Anumbers [Annotated scanned figure from Gruenbaum and Shephard (1977)]
Index entries for linear recurrences with constant coefficients, signature (2,1).


FORMULA

G.f.: (1+3*x+x^2)/(1x)^2; a(n) = 0^n + 5n.  Paul Barry, Jul 21 2003


PROG

(MAGMA) [0^n+5*n: n in [0..50] ]; // Vincenzo Librandi, Aug 21 2011
(PARI) a(n)=0^n+5*n \\ Charles R Greathouse IV, Mar 19 2015


CROSSREFS

Cf. A008587.
List of coordination sequences for uniform planar nets: A008458 (the planar net 3.3.3.3.3.3), A008486 (6^3), A008574 (4.4.4.4 and 3.4.6.4), A008576 (4.8.8), A008579 (3.6.3.6), A008706 (3.3.3.4.4), A072154 (4.6.12), A219529 (3.3.4.3.4), A250120 (3.3.3.3.6), A250122 (3.12.12).
Sequence in context: A257222 A092454 A248359 * A008587 A172336 A140233
Adjacent sequences: A008703 A008704 A008705 * A008707 A008708 A008709


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



