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 A298792 Coordination sequence for the bil tiling (or net) with respect to a trivalent node of the first type. 4
 1, 3, 6, 9, 11, 14, 19, 22, 23, 25, 30, 35, 35, 36, 41, 46, 49, 49, 52, 57, 60, 63, 64, 67, 71, 74, 79, 80, 81, 85, 90, 95, 93, 94, 101, 106, 109, 107, 110, 117, 120, 123, 122, 125, 131, 134, 139, 138, 139, 145, 150, 155, 151, 152, 161, 166, 169, 165, 168, 177 (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 bil tiling (or net) Rémy Sigrist, Illustration of first terms Rémy Sigrist, PARI program for A298792 FORMULA Conjectures from Colin Barker, Mar 30 2018: (Start) G.f.: (1 + 2*x + 5*x^2 + 7*x^3 + 10*x^4 + 12*x^5 + 15*x^6 + 14*x^7 + 16*x^8 + 14*x^9 + 15*x^10 + 12*x^11 + 10*x^12 + 7*x^13 + 5*x^14 + 2*x^15 + x^16) / ((1 - x)^2*(1 + x^2)*(1 - x + x^2 - x^3 + x^4)*(1 + x + x^2 + x^3 + x^4)^2). a(n) = a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 3*a(n-5) - 3*a(n-6) + 4*a(n-7) - 4*a(n-8) + 4*a(n-9) - 3*a(n-10) + 3*a(n-11) - 2*a(n-12) + 2*a(n-13) - 2*a(n-14) + a(n-15) - a(n-16) for n>16. (End) PROG (PARI) See Links section. CROSSREFS Cf. A298793, A298794, A298795. Sequence in context: A151926 A166265 A145283 * A177800 A310147 A310148 Adjacent sequences: A298789 A298790 A298791 * A298793 A298794 A298795 KEYWORD nonn AUTHOR N. J. A. Sloane, Jan 27 2018 EXTENSIONS More terms from Rémy Sigrist, Mar 30 2018 STATUS approved

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Last modified November 29 16:39 EST 2022. Contains 358431 sequences. (Running on oeis4.)