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A361559
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a(n) = Sum_{k=1..prime(n)-1} floor(k^5/prime(n)).
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0
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0, 10, 258, 1740, 20070, 48510, 196920, 350370, 937860, 3075030, 4322160, 10641330, 17925180, 22825110, 35827560, 65816010, 113180910, 133937670, 215070570, 288148140, 331474860, 493573080, 633015810, 899599140, 1387338960, 1700082450, 1876303260, 2272556790, 2494333710
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = (p-2)*(p-1)*(p+1)*(2*p^2-2*p+3)/12 where p=prime(n).
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MAPLE
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a:= n-> (p-> (p-2)*(p-1)*(p+1)*(2*p^2-2*p+3)/12)(ithprime(n)):
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PROG
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(PARI) a(n) = my(p=prime(n)); sum(k=1, p-1, k^5\p);
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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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