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A008706 Coordination sequence for 3.3.3.4.4 planar net. 24
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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

REFERENCES

Branko Gruenbaum and Geoffrey C. Shephard, Tilings by regular polygons, Mathematics Magazine, 50 (1977), 227-247.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

N. J. A. Sloane, The uniform planar nets and their A-numbers [Annotated scanned figure from Gruenbaum and Shephard (1977)]

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

FORMULA

G.f.: (1+3x+x^2)/(1-x)^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

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

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Last modified September 30 00:00 EDT 2016. Contains 276618 sequences.