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A045613 Minimal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements. 4
33, 105, 110, 208, 268, 455, 695, 812, 1609, 1808, 1892, 1913, 2096, 2145, 3123, 3272, 3867, 4129, 5424, 5600, 5916, 6524, 6783, 7069, 7119, 7875, 9716, 10506, 11088, 11265, 11552, 12324, 12892, 12939, 13712, 14210, 15429, 15762, 17252, 17490, 18368, 19616 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..40410 (terms below 10^10, terms 1..1000 from Donovan Johnson)
Eric Weisstein's World of Mathematics, Super Unitary Amicable Pair.
FORMULA
usigma(usigma(a)) = usigma(usigma(b)) = a+b where a<b and usigma(n) = A034448(n) is the sum of the unitary divisors of n. This sequence gives the values of a; A045614 gives the values of b.
MATHEMATICA
usigma[n_] := If[n == 1, 1, Times @@ (1 + Power @@@ FactorInteger[n])]; u[n_] := usigma[usigma[n]] - n; s = {}; Do[m = u[n]; If[m > n && u[m] == n, AppendTo[s, n]], {n, 1, 10000}]; s (* Amiram Eldar, Feb 18 2019 *)
CROSSREFS
Sequence in context: A133901 A008880 A370481 * A033574 A183446 A296125
KEYWORD
nonn
AUTHOR
EXTENSIONS
Edited by Dean Hickerson, Nov 06 2006
Offset corrected by Donovan Johnson, Jul 26 2012
More terms from Amiram Eldar, Feb 18 2019
STATUS
approved

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Last modified July 24 20:30 EDT 2024. Contains 374585 sequences. (Running on oeis4.)