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 A344024 a(n) = A003415(A001615(n)). 2
 0, 1, 4, 5, 5, 16, 12, 16, 16, 21, 16, 44, 9, 44, 44, 44, 21, 60, 24, 60, 80, 60, 44, 112, 31, 41, 60, 112, 31, 156, 80, 112, 112, 81, 112, 156, 21, 92, 92, 156, 41, 272, 48, 156, 156, 156, 112, 272, 92, 123, 156, 124, 81, 216, 156, 272, 176, 123, 92, 384, 33, 272, 272, 272, 124, 384, 72, 216, 272, 384, 156, 384, 39, 101 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS The first nonsquarefree numbers for which this sequence coincides with A342925 are 868, 920, 952, 4260, 4452, 4692, 5060, 5172, ... LINKS Antti Karttunen, Table of n, a(n) for n = 1..16384 FORMULA a(A005117(n)) = A342925(A005117(n)) for all n. MATHEMATICA {0}~Join~Array[If[# < 2, 0, # Total[#2/#1 & @@@ FactorInteger[#]]] &[# Product[1 + 1/p, {p, FactorInteger[#][[All, 1]]}] ] &, 73, 2] (* Michael De Vlieger, May 16 2021 *) PROG (PARI) A001615(n) = if(1==n, n, my(f=factor(n)); prod(i=1, #f~, f[i, 1]^f[i, 2] + f[i, 1]^(f[i, 2]-1))); \\ After code in A001615 A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1])); A344024(n) = A003415(A001615(n)); CROSSREFS Cf. A001615, A003415, A005117. Cf. also A342925. Sequence in context: A334018 A154914 A154916 * A327703 A077061 A072508 Adjacent sequences: A344021 A344022 A344023 * A344025 A344026 A344027 KEYWORD nonn AUTHOR Antti Karttunen, May 09 2021 STATUS approved

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Last modified April 20 09:04 EDT 2024. Contains 371799 sequences. (Running on oeis4.)