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 A083262 a(n) = sigma(A046523(n)), sum of divisors of the least number with the same prime signature as n. 1
 1, 3, 3, 7, 3, 12, 3, 15, 7, 12, 3, 28, 3, 12, 12, 31, 3, 28, 3, 28, 12, 12, 3, 60, 7, 12, 15, 28, 3, 72, 3, 63, 12, 12, 12, 91, 3, 12, 12, 60, 3, 72, 3, 28, 28, 12, 3, 124, 7, 28, 12, 28, 3, 60, 12, 60, 12, 12, 3, 168, 3, 12, 28, 127, 12, 72, 3, 28, 12, 72, 3, 195, 3, 12, 28, 28, 12, 72 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Antti Karttunen, Table of n, a(n) for n = 1..10000 MATHEMATICA Table[DivisorSigma[1, Times @@ MapIndexed[Prime[First@ #2]^#1 &, Sort[FactorInteger[n][[All, -1]], Greater]] - Boole[n == 1]], {n, 78}] (* Michael De Vlieger, May 20 2017 *) PROG (PARI) A046523(n) = my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]) \\ This function from Charles R Greathouse IV, Aug 17 2011 A083262(n) = sigma(A046523(n)); \\ Antti Karttunen, May 19 2017 CROSSREFS Cf. A000203, A046523, A276528, A286360. Sequence in context: A253249 A069949 A143275 * A122978 A119347 A323774 Adjacent sequences: A083259 A083260 A083261 * A083263 A083264 A083265 KEYWORD nonn AUTHOR Labos Elemer, May 09 2003 EXTENSIONS Name clarified by Antti Karttunen, May 19 2017 STATUS approved

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Last modified May 27 02:41 EDT 2024. Contains 372847 sequences. (Running on oeis4.)