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 A344458 a(n) = Sum_{d|n} d^omega(d). 0
 1, 3, 4, 7, 6, 42, 8, 15, 13, 108, 12, 190, 14, 206, 234, 31, 18, 375, 20, 512, 452, 498, 24, 774, 31, 692, 40, 994, 30, 27372, 32, 63, 1104, 1176, 1238, 1819, 38, 1466, 1538, 2120, 42, 74774, 44, 2438, 2268, 2142, 48, 3094, 57, 2633, 2622, 3400, 54, 3318, 3042, 4138 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS If p is prime, a(p) = Sum_{d|p} d^omega(d) = 1^1 + p^1 = p + 1. LINKS Table of n, a(n) for n=1..56. EXAMPLE a(6) = Sum_{d|6} d^omega(d) = 1^0 + 2^1 + 3^1 + 6^2 = 42. MATHEMATICA Table[Sum[k^PrimeNu[k] (1 - Ceiling[n/k] + Floor[n/k]), {k, n}], {n, 100}] CROSSREFS Cf. A001221 (omega). Sequence in context: A117134 A334127 A095001 * A068905 A241625 A081826 Adjacent sequences: A344455 A344456 A344457 * A344459 A344460 A344461 KEYWORD nonn AUTHOR Wesley Ivan Hurt, May 19 2021 STATUS approved

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Last modified June 13 17:32 EDT 2024. Contains 373391 sequences. (Running on oeis4.)