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 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 (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 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..10000 Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers Chaim Goodman-Strauss and N. J. A. Sloane, A Coloring Book Approach to Finding Coordination Sequences, Acta Cryst. A75 (2019), 121-134, also on NJAS's home page. Also arXiv:1803.08530. Branko Grünbaum and Geoffrey C. Shephard, Tilings by regular polygons, Mathematics Magazine, 50 (1977), 227-247. Tom Karzes, Tiling Coordination Sequences Reticular Chemistry Structure Resource, cem 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+3*x+x^2)/(1-x)^2; a(n) = 0^n + 5n. - Paul Barry, Jul 21 2003 MATHEMATICA Join[{1}, LinearRecurrence[{2, -1}, {5, 10}, 100]] (* Jean-François Alcover, Dec 13 2018 *) 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 STATUS approved

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Last modified October 23 23:52 EDT 2020. Contains 337975 sequences. (Running on oeis4.)