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 A347502 Number of dominating sets in the n-cycle complement graph. 0
 0, -1, -1, 1, 9, 21, 51, 113, 239, 493, 1003, 2025, 4071, 8165, 16355, 32737, 65503, 131037, 262107, 524249, 1048535, 2097109, 4194259, 8388561, 16777167, 33554381, 67108811, 134217673, 268435399, 536870853, 1073741763, 2147483585, 4294967231, 8589934525 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Sequence extended to a(0) using the generating function. LINKS Eric Weisstein's World of Mathematics, Cycle Complement Graph Eric Weisstein's World of Mathematics, Dominating Set Index entries for linear recurrences with constant coefficients, signature (4,-5,2). FORMULA a(n) = A070313(n) = 2^n-2*n-1 for n != 4. G.f.: x^3*(-1 - 5*x + 10*x^2 - 10*x^3 + 4*x^4)/((-1 + x)^2*(-1 + 2*x)). E.g.f.: exp(2*x) + x^4/12 - exp(x)*(1 + 2*x). - Stefano Spezia, Sep 04 2021 CROSSREFS Cf. A070313. Sequence in context: A144482 A251212 A176896 * A134717 A216980 A147169 Adjacent sequences: A347499 A347500 A347501 * A347503 A347504 A347505 KEYWORD sign,easy AUTHOR Eric W. Weisstein, Sep 04 2021 STATUS approved

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Last modified January 27 12:24 EST 2023. Contains 359840 sequences. (Running on oeis4.)