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A301283 Coordination sequence for node of type V1 in "car" 2-D tiling (or net). 3
1, 3, 6, 8, 12, 17, 18, 20, 26, 29, 29, 33, 39, 41, 41, 45, 52, 54, 52, 57, 66, 66, 63, 70, 79, 78, 75, 82, 92, 91, 86, 94, 106, 103, 97, 107, 119, 115, 109, 119, 132, 128, 120, 131, 146, 140, 131, 144, 159, 152, 143, 156, 172, 165, 154, 168, 186, 177, 165 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..1000

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

Rémy Sigrist, PARI program for A301283

Rémy Sigrist, Illustration of first terms

FORMULA

Conjectures from Colin Barker, Mar 30 2018: (Start)

G.f.: (1 + 2*x + 5*x^2 + 5*x^3 + 9*x^4 + 6*x^5 + 6*x^6 + 3*x^7 + x^8 - x^10) / ((1 - x)^2*(1 + x^2)^2*(1 + x + x^2)).

a(n) = a(n-1) - 2*a(n-2) + 3*a(n-3) - 2*a(n-4) + 3*a(n-5) - 2*a(n-6) + a(n-7) - a(n-8) for n>8.

(End)

Equivalent conjecture: 12*a(n) = 37*n+4*b(n)+6*(-1)^(n/2)*A142150(n+2)+3*c(n) for n>2, where b(n)=0,-1,1 (3-periodic, n>=0) and c(n) = -6,5,6,-5 (4-periodic, n>=0). - R. J. Mathar, Mar 31 2018

PROG

(PARI) See Links section.

CROSSREFS

Cf. A301285.

Sequence in context: A220001 A310138 A310139 * A288218 A212984 A006048

Adjacent sequences:  A301280 A301281 A301282 * A301284 A301285 A301286

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 23 2018

EXTENSIONS

More terms from Rémy Sigrist, Mar 28 2018

STATUS

approved

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Last modified September 22 16:22 EDT 2020. Contains 337291 sequences. (Running on oeis4.)