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 A224885 G.f.: A(x) = 1+x + Sum_{n>=2} Product_{k=1..n} (A(x)^k - 1). 1
 1, 1, 2, 15, 143, 1552, 18282, 228174, 2976534, 40256580, 561755676, 8066942027, 119104886610, 1809118800204, 28327453520403, 458854209551159, 7727223037965079, 136130623466875012, 2526349854311842166, 49724570281877830993, 1043539871136604436514, 23417606258398828845811 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..125 Hsien-Kuei Hwang, Emma Yu Jin, Asymptotics and statistics on Fishburn matrices and their generalizations, arXiv:1911.06690 [math.CO], 2019. EXAMPLE G.f.: A(x) = 1 + x + 2*x^2 + 15*x^3 + 143*x^4 + 1552*x^5 + 18282*x^6 +... where A(x) = 1+x + (A(x)-1)*(A(x)^2-1) + (A(x)-1)*(A(x)^2-1)*(A(x)^3-1) + (A(x)-1)*(A(x)^2-1)*(A(x)^3-1)*(A(x)^4-1) + (A(x)-1)*(A(x)^2-1)*(A(x)^3-1)*(A(x)^4-1)*(A(x)^5-1) +... PROG (PARI) {a(n)=local(A=1+x); for(i=1, n, A=1+x+sum(k=2, n, prod(j=1, k, A^j-1 +x*O(x^n)))); polcoeff(A, n)} for(n=0, 20, print1(a(n), ", ")) CROSSREFS Cf. A186737, A227619. Sequence in context: A288950 A005415 A219868 * A253571 A111686 A001854 Adjacent sequences:  A224882 A224883 A224884 * A224886 A224887 A224888 KEYWORD nonn AUTHOR Paul D. Hanna, Aug 22 2013 STATUS approved

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Last modified July 29 11:53 EDT 2021. Contains 346346 sequences. (Running on oeis4.)