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A203524
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a(n) = Product_{2 <= i < j <= n+1} (prime(i) + prime(j)).
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5
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1, 8, 960, 3870720, 535088332800, 4746447547269120000, 2251903055463146166681600000, 101133031075657891684280256430080000000, 764075218501479062478490016486870993810227200000000, 510692344365454233151092604262379676645631378616169267200000000000
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OFFSET
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1,2
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COMMENTS
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Each term divides its successor, as in A203525. It is conjectured that each term is divisible by the corresponding superfactorial, A000178(n); as in A203526. See A093883 for a guide to related sequences.
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LINKS
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MAPLE
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a:= n-> mul(mul(ithprime(i)+ithprime(j), i=2..j-1), j=3..n+1):
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MATHEMATICA
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f[j_] := Prime[j + 1]; z = 17;
v[n_] := Product[Product[f[k] + f[j], {j, 1, k - 1}], {k, 2, n}]
d[n_] := Product[(i - 1)!, {i, 1, n}] (* A000178 *)
Table[v[n], {n, 1, z}] (* A203524 *)
Table[v[n + 1]/(8 v[n]), {n, 1, z - 1}] (* A203525 *)
Table[v[n]/d[n], {n, 1, 20}] (* A203526 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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