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A135071
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a(n) = [x^(2^n+n-2)] (x + x^2 + x^4 + x^8 + ... + x^(2^n))^n /(n*(n-1)/2) for n>=2.
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4
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1, 1, 3, 7, 40, 236, 1876, 9948, 147880, 1453960, 22015900, 208197540, 4313645260, 50025596492, 908013578304, 10257540119128, 410662921858728, 7157148265575464, 196798065310375948, 3119117728942974484
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OFFSET
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2,3
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LINKS
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FORMULA
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a(n) = A135070(n)/[n(n-1)/2] for n>=2.
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MATHEMATICA
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f[x_, n_] := (1/Binomial[n, 2])*(Sum[x^(2^k), {k, 0, n}])^n; Table[Coefficient[f[x, n], x^(2^n + n - 2)] , {n, 2, 10}] (* G. C. Greubel, Sep 22 2016 *)
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PROG
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(PARI) {a(n)=if(n<2, 0, polcoeff(sum(j=0, n, x^(2^j)+O(x^(2^n+n)))^n, 2^n+n-2)/(n*(n-1)/2))}
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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