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A369868
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a(n) = Sum_{p|n, p prime} n^pi(n/p).
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1
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0, 1, 1, 4, 1, 42, 1, 64, 81, 1010, 1, 1872, 1, 38430, 3600, 65536, 1, 110808, 1, 160400, 194922, 5153654, 1, 8294400, 15625, 308915802, 531441, 481891088, 1, 729837000, 1, 1073741824, 39136482, 52523350178, 1543500, 78424630272, 1, 4347792138534, 3518745282
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OFFSET
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1,4
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LINKS
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FORMULA
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a(p^k) = p^(k*pi(p^(k-1))), for p prime and k >= 1. - Wesley Ivan Hurt, Jun 26 2024
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MATHEMATICA
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Table[DivisorSum[n, n^PrimePi[n/#] &, PrimeQ[#] &], {n, 60}]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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