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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.)