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 A363333 Numbers with a record number of divisors that are both coreful and bi-unitary. 1
 1, 8, 32, 128, 216, 864, 3456, 7776, 13824, 31104, 108000, 279936, 432000, 972000, 1728000, 3888000, 15552000, 34992000, 62208000, 97200000, 139968000, 248832000, 333396000, 559872000, 592704000, 874800000, 1333584000, 5334336000, 12002256000, 21337344000, 33339600000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Indices of records in A363332. The corresponding record values are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 49, 63, 75, 81, ... (see the link for more values). LINKS Amiram Eldar, Table of n, a(n) for n = 1..261 Amiram Eldar, Table of n, a(n), A363332(a(n)) for n = 1..261 MATHEMATICA f[p_, e_] := If[OddQ[e], e, e - 1]; d[1] = 1; d[n_] := Times @@ (f @@@ FactorInteger[n]); Array[a, 120] v = Cases[Import["https://oeis.org/A025487/b025487.txt", "Table"], {_, _}][[;; , 2]]; seq = {}; dm = 0; Do[If[(dk = d[v[[k]]]) > dm, dm = dk; AppendTo[seq, v[[k]]]], {k, 1, Length[v]}]; seq CROSSREFS Cf. A363332. Subsequence of A025487. Similar sequences: A005934, A293185. Sequence in context: A269077 A183915 A357789 * A358253 A358252 A325839 Adjacent sequences: A363330 A363331 A363332 * A363334 A363335 A363336 KEYWORD nonn AUTHOR Amiram Eldar, May 28 2023 STATUS approved

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Last modified April 14 04:44 EDT 2024. Contains 371655 sequences. (Running on oeis4.)