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A111685
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n + n(n+1) + n(n+1)(n+2) + ..., with n terms.
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1
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1, 8, 75, 984, 17045, 366288, 9374967, 278095760, 9375293169, 353906211240, 14785127222723, 677150215857192, 33734100501544365, 1816008001717251104, 105048613959883117935, 6497985798745934394528, 427999600108502895779657
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OFFSET
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1,2
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LINKS
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EXAMPLE
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a(3) = 3+ 3*4 +3*4*5 = 75.
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MATHEMATICA
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Table[Total[Rest[FoldList[Times, 1, Range[n, 2n-1]]]], {n, 20}] (* Harvey P. Dale, Apr 22 2011 *)
Table[Total[Pochhammer[n, Range[n]]], {n, 20}] (* T. D. Noe, Apr 22 2011 *)
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PROG
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(PARI) a(n) = sum(k=0, n-1, prod(j=0, k, n+j)) (Shepherd)
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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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