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 A286069 Independence and clique covering number of the n X n antelope graph. 1
 1, 4, 9, 16, 21, 24, 25, 36, 48, 60, 72, 84, 92, 98, 113, 132, 153, 168, 185, 200, 221, 242, 265, 288, 313, 338, 365, 392, 421, 450, 481, 512, 545, 578, 613, 648, 685, 722, 761, 800, 841, 882, 925, 968, 1013, 1058, 1105, 1152, 1201, 1250, 1301, 1352, 1405, 1458, 1513 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Colin Barker, Table of n, a(n) for n = 1..1000 Eric Weisstein's World of Mathematics, Antelope Graph Eric Weisstein's World of Mathematics, Clique Covering Number Eric Weisstein's World of Mathematics, Independence Number Index entries for linear recurrences with constant coefficients, signature (2,0,-2,1). FORMULA a(n) = 2*(a-1) - 2*a(n-3) + a(n-4) for n >= 24. - Eric W. Weisstein, Apr 19 2019 G.f.: x*(1 + 2*x + x^2 - 4*x^4 - 4*x^5 + 12*x^7 + 3*x^8 - 10*x^9 - x^10 - 4*x^12 - 2*x^13 + 13*x^14 + 6*x^15 - 7*x^16 - 10*x^17 + 4*x^19 + 4*x^20 + 2*x^21 - 4*x^22) / ((1 - x)^3*(1 + x)). - Colin Barker, Apr 19 2019 MATHEMATICA Join[{1, 4, 9, 16, 21, 24, 25, 36, 48, 60, 72, 84, 92, 98, 113, 132, 153, 168, 185}, LinearRecurrence[{2, 0, -2, 1}, {1, 2, 5, 8}, {20, 40}]] PROG (PARI) Vec(x*(1 + 2*x + x^2 - 4*x^4 - 4*x^5 + 12*x^7 + 3*x^8 - 10*x^9 - x^10 - 4*x^12 - 2*x^13 + 13*x^14 + 6*x^15 - 7*x^16 - 10*x^17 + 4*x^19 + 4*x^20 + 2*x^21 - 4*x^22) / ((1 - x)^3*(1 + x)) + O(x^60)) \\ Colin Barker, Apr 19 2019 CROSSREFS Sequence in context: A313340 A010461 A010421 * A010445 A155570 A313341 Adjacent sequences:  A286066 A286067 A286068 * A286070 A286071 A286072 KEYWORD nonn,easy AUTHOR Eric W. Weisstein, Jun 15 2017 EXTENSIONS Extended by Eric W. Weisstein, Apr 18 2019 STATUS approved

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Last modified June 5 11:06 EDT 2020. Contains 334840 sequences. (Running on oeis4.)