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A299894 Coordination sequence for "bar" 3D tiling with respect to first type of node. 3
1, 4, 8, 16, 27, 35, 48, 66, 83, 113, 146, 174, 203, 231, 267, 311, 365, 418, 466, 509, 556, 617, 691, 768, 833, 897, 954, 1021, 1110, 1197, 1280, 1372, 1457, 1535, 1639, 1755, 1856, 1950, 2064, 2165, 2275, 2405, 2513, 2635, 2745, 2871, 3010 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

First 127 terms computed by Davide M. Proserpio using ToposPro.

LINKS

Davide M. Proserpio, Table of n, a(n) for n = 0..127

V. A. Blatov, A. P. Shevchenko, D. M. Proserpio, Applied Topological Analysis of Crystal Structures with the Program Package ToposPro, Cryst. Growth Des. 2014, 14, 3576-3586.

Reticular Chemistry Structure Resource (RCSR), The bar tiling (or net)

FORMULA

Conjectured recurrence, found by gfun, using the command rec:=gfun[listtorec](t1, a(n)); (where t1 is a list of the initial terms) suggested by Paul Zimmermann. (Note: this should not be used to extend the sequence.)

a(n+1)=2*a(n+2)-2*a(n+3)+a(n+4)-a(n+7)+3*a(n+8)-4*a(n+9)+4*a(n+10)-2*a(n+11)+2*a(n+14) -4*a(n+15)+4*a(n+16)-3*a(n+17)+a(n+18)-a(n+21)+2*a(n+22)-2*a(n+23)+a(n+24),

with a(0) = 1, a(1) = 4, a(2) = 9, a(3) = 17, a(4) = 28, a(5) = 41, a(6) = 56, a(7) = 73, a(8) = 93, a(9) = 117, a(10) = 146, a(11) = 180, a(12) = 216, a(13) = 253, a(14) = 291, a(15) = 329, a(16) = 369, a(17) = 414, a(18) = 466, a(19) = 524, a(20) = 586, a(21) = 650, a(22) = 712, a(23) = 773.

CROSSREFS

Cf. A299896 (second type), A299895 (partial sums).

Sequence in context: A122494 A257278 A257279 * A025197 A008371 A303544

Adjacent sequences:  A299891 A299892 A299893 * A299895 A299896 A299897

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 21 2018

STATUS

approved

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Last modified June 17 06:06 EDT 2019. Contains 324183 sequences. (Running on oeis4.)