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A203683
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Vandermonde sequence using x^2 + y^2 applied to (1,2,4,...,2^(n-1)).
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3
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OFFSET
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1,2
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COMMENTS
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See A093883 for a discussion and guide to related sequences.
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LINKS
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FORMULA
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a(n) = product(((5*4^(k*(k+1)))/(4^(k+1)+1))*(-4^-(k+1);4)_k, k = 1..n-1), where the q-Pochhammer symbol (c;q)_m = product(1-c*q^j, j = 0..m-1). - Todd Silvestri, Dec 15 2014
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MATHEMATICA
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f[j_] := 2^(j - 1); z = 12;
u[n_] := Product[f[j]^2 + f[k]^2, {j, 1, k - 1}]
v[n_] := Product[u[n], {k, 2, n}]
Table[v[n], {n, 1, z}] (* A203683 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203684 *)
a[n_Integer/; n>=1]:=Product[(5 4^(k (k+1)))/(4^(k+1)+1) QPochhammer[-4^-(k+1), 4, k], {k, n-1}] (* Todd Silvestri, Dec 15 2014 *)
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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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