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 A351248 a(n) = n^8 * Sum_{p|n, p prime} 1/p^8. 11
 0, 1, 1, 256, 1, 6817, 1, 65536, 6561, 390881, 1, 1745152, 1, 5765057, 397186, 16777216, 1, 44726337, 1, 100065536, 5771362, 214359137, 1, 446758912, 390625, 815730977, 43046721, 1475854592, 1, 2664570241, 1, 4294967296, 214365442, 6975757697, 6155426, 11449942272 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS Table of n, a(n) for n=1..36. FORMULA a(A000040(n)) = 1. EXAMPLE a(6) = 6817; a(6) = 6^8 * Sum_{p|6, p prime} 1/p^8 = 1679616 * (1/2^8 + 1/3^8) = 6817. PROG (Python) from sympy import primefactors def A351248(n): return sum((n//p)**8 for p in primefactors(n)) # Chai Wah Wu, Feb 05 2022 CROSSREFS Sequences of the form n^k * Sum_{p|n, p prime} 1/p^k for k = 0..10: A001221 (k=0), A069359 (k=1), A322078 (k=2), A351242 (k=3), A351244 (k=4), A351245 (k=5), A351246 (k=6), A351247 (k=7), this sequence (k=8), A351249 (k=9), A351262 (k=10). Cf. A000040. Sequence in context: A263166 A139305 A348431 * A160514 A203813 A133487 Adjacent sequences: A351245 A351246 A351247 * A351249 A351250 A351251 KEYWORD nonn AUTHOR Wesley Ivan Hurt, Feb 05 2022 STATUS approved

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Last modified October 4 22:37 EDT 2023. Contains 365888 sequences. (Running on oeis4.)