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 A345313 a(n) = Sum_{p|n, p prime} (n/p)^lcm(p,n/p). 0
 0, 1, 1, 4, 1, 793, 1, 256, 27, 9766649, 1, 16823872, 1, 678223089233, 30531927032, 16777216, 1, 150094635297045777, 1, 1109511627776, 558545874543637210, 81402749386839765307625, 1, 4722366491785745661952, 3125, 91733330193268616658466724873, 387420489 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS a(p) = Sum_{p|p} (p/p)^lcm(p,p/p) = 1^p = 1 for primes p. LINKS Table of n, a(n) for n=1..27. Index entries for sequences related to lcm's EXAMPLE a(10) = Sum_{p|10} (10/p)^lcm(p,10/p) = 5^lcm(2,5) + 2^lcm(5,2) = 5^10 + 2^ 10 = 9766649. MATHEMATICA Table[Sum[(n/k)^LCM[k, n/k] (PrimePi[k] - PrimePi[k - 1]) (1 - Ceiling[n/k] + Floor[n/k]), {k, n}], {n, 30}] CROSSREFS Sequence in context: A298939 A240098 A094337 * A038019 A164804 A036115 Adjacent sequences: A345310 A345311 A345312 * A345314 A345315 A345316 KEYWORD nonn AUTHOR Wesley Ivan Hurt, Jun 13 2021 STATUS approved

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Last modified June 25 01:38 EDT 2024. Contains 373691 sequences. (Running on oeis4.)