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 A213228 G.f. satisfies: A(x) = 1/(1 - x/A(-x*A(x)^6)^2). 8
 1, 1, 3, 14, 73, 440, 2862, 19991, 146939, 1125413, 8896018, 72067978, 595097838, 4987609871, 42290465703, 361845473658, 3117830204185, 27009650432888, 234932107635587, 2049479335366836, 17915253987741538, 156799716352350344, 1373180896765862962 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Compare g.f. to: (1) G(x) = 1/(1 - x/G(-x*G(x)^3)^1) when G(x) = 1/(1 - x*G(x)^1) (A000108). (2) G(x) = 1/(1 - x/G(-x*G(x)^5)^2) when G(x) = 1/(1 - x*G(x)^2) (A001764). (3) G(x) = 1/(1 - x/G(-x*G(x)^7)^3) when G(x) = 1/(1 - x*G(x)^3) (A002293). (4) G(x) = 1/(1 - x/G(-x*G(x)^9)^4) when G(x) = 1/(1 - x*G(x)^4) (A002294). LINKS EXAMPLE G.f.: A(x) = 1 + x + 3*x^2 + 14*x^3 + 73*x^4 + 440*x^5 + 2862*x^6 +... Related expansions: A(x)^6 = 1 + 6*x + 33*x^2 + 194*x^3 + 1188*x^4 + 7656*x^5 + 51583*x^6 +... 1/A(-x*A(x)^6)^2 = 1 + 2*x + 9*x^2 + 44*x^3 + 268*x^4 + 1750*x^5 + 12422*x^6 +... PROG (PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=1, n, A=1/(1-x/subst(A^2, x, -x*subst(A^6, x, x+x*O(x^n)))) ); polcoeff(A, n)} for(n=0, 30, print1(a(n), ", ")) CROSSREFS Cf. A213225, A213226, A213227, A213229, A213230, A213231, A213232, A213233. Cf. A213091, A213092, A213093, A213094, A213095, A213096, A213098. Cf. A213099, A213100, A213101, A213102, A213103, A213104, A213105. Cf. A213108, A213109, A213110, A213111, A213112, A213113. Sequence in context: A295104 A080238 A307443 * A306455 A277939 A210346 Adjacent sequences:  A213225 A213226 A213227 * A213229 A213230 A213231 KEYWORD nonn AUTHOR Paul D. Hanna, Jun 06 2012 STATUS approved

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Last modified January 21 16:22 EST 2020. Contains 331114 sequences. (Running on oeis4.)