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 A317092 Positive integers whose prime multiplicities are weakly decreasing and span an initial interval of positive integers. 4
 2, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 17, 19, 20, 21, 22, 23, 26, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 51, 52, 53, 55, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 89, 91, 92 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Rémy Sigrist, Table of n, a(n) for n = 1..25000 MATHEMATICA normalQ[m_]:=Union[m]==Range[Max[m]]; Select[Range[2, 100], And[normalQ[FactorInteger[#][[All, 2]]], OrderedQ[Reverse[FactorInteger[#][[All, 2]]]]]&] PROG (PARI) is(n) = my (f=factor(n), w=#f~); if (w==0 || f[w, 2]!=1, return (0), for (k=1, w-1, if (f[k, 2]!=f[k+1, 2] && f[k, 2]!=1+f[k+1, 2], return (0))) ; return (1)) \\ Rémy Sigrist, Sep 05 2018 CROSSREFS Cf. A001222, A007916, A055932, A056239, A112798, A124010, A133808, A242031. Cf. A317087, A317088, A317089, A317090, A317091. Sequence in context: A336360 A102750 A349810 * A349019 A225354 A166111 Adjacent sequences:  A317089 A317090 A317091 * A317093 A317094 A317095 KEYWORD nonn AUTHOR Gus Wiseman, Jul 21 2018 STATUS approved

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Last modified August 18 02:34 EDT 2022. Contains 356204 sequences. (Running on oeis4.)