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A124538
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Antidiagonal sums of rectangular table A124530.
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1
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1, 2, 3, 5, 11, 33, 125, 551, 2695, 14258, 80343, 477161, 2964299, 19155014, 128203704, 885830074, 6302476880, 46077527307, 345590801495, 2655466079629, 20880388012659, 167861200630015, 1378589193074514, 11558511053625488
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OFFSET
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0,2
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COMMENTS
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In table A124530, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k*R_k(y)^(n*k) for n>=0.
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LINKS
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PROG
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(PARI) a(n)=local(R); R=vector(n+1, r, vector(n+1, c, if(r==1 || c<=2, 1, r^(c-2)))); for(i=0, n, for(r=0, n, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+1)))))); sum(k=0, n, R[n-k+1][k+1])
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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