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A178184
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Sum 2^((k^2+3k)/2) from k=1 to n
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9
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4, 36, 548, 16932, 1065508, 135283236, 34495021604, 17626681066020, 18032025190548004, 36911520172609651236, 151152638972001256489508, 1238091191924352276155613732, 20283647694843594776223406899748
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OFFSET
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1,1
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COMMENTS
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Series of the kind m^((k^2+3k)/2) from k=1 to n was studied by Bernoulli and Euler.
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LINKS
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MATHEMATICA
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aa = {}; m = 2; sum = 0; Do[sum = sum + m^((n + 3) n/2); AppendTo[aa, sum], {n, 1, 20}]; aa (*Artur Jasinski*)
Accumulate[Table[2^((k^2+3k)/2), {k, 20}]] (* Harvey P. Dale, Aug 17 2021 *)
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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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