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 A345311 a(n) = Sum_{p|n, p prime} p^lcm(p,n/p). 0
 0, 4, 27, 4, 3125, 793, 823543, 16, 27, 9766649, 285311670611, 531505, 302875106592253, 678223089233, 30531927032, 256, 827240261886336764177, 262873, 1978419655660313589123979, 95367431641649, 558545874543637210, 81402749386839765307625, 20880467999847912034355032910567 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(p) = Sum_{p|p} p^lcm(p,p/p) = p^p for primes p. LINKS Table of n, a(n) for n=1..23. Index entries for sequences related to lcm's EXAMPLE a(10) = Sum_{p|10} p^lcm(p,10/p) = 2^lcm(2,5) + 5^lcm(5,2) = 2^10 + 5^10 = 9766649. MATHEMATICA Table[Sum[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: A102199 A351366 A365636 * A125723 A094543 A136511 Adjacent sequences: A345308 A345309 A345310 * A345312 A345313 A345314 KEYWORD nonn AUTHOR Wesley Ivan Hurt, Jun 13 2021 STATUS approved

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Last modified July 14 03:51 EDT 2024. Contains 374291 sequences. (Running on oeis4.)