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A123269
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Sum[ i^j^k, {i,1,n}, {j,1,n}, {k,1,n} ].
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2
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1, 28, 7625731729896, 13407807929942597099574024998205985135931742965325158317510351105024878248924471298029103219186757034747676158536830429928105045387310278568778808509188348
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OFFSET
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1,2
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COMMENTS
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The next term is too large to include.
Prime p divides a(p) for p = {2, 3, 7, 11, 23, 31, 43, 47, 59, 67, 71, 79, ...} = A039787[n] Primes p such that p-1 is squarefree. p^2 divides a(p) for prime p = {2,3}.
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LINKS
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FORMULA
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a(n) = Sum[ i^j^k, {i,1,n}, {j,1,n}, {k,1,n} ].
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MATHEMATICA
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Table[Sum[i^j^k, {i, 1, n}, {j, 1, n}, {k, 1, n}], {n, 1, 5}]
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PROG
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CROSSREFS
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Numbers n that divide a(n) are listed in A124391(n) = {1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 20, 21, 22, 23, 24, 27, 28, 31, ...}.
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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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