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A306983 Infinitary pseudoperfect numbers: numbers n equal to the sum of a subset of their proper infinitary divisors. 7
6, 24, 30, 40, 42, 54, 56, 60, 66, 72, 78, 88, 90, 96, 102, 104, 114, 120, 138, 150, 168, 174, 186, 210, 216, 222, 246, 258, 264, 270, 280, 282, 294, 312, 318, 330, 354, 360, 366, 378, 384, 390, 402, 408, 420, 426, 438, 440, 456, 462, 474, 480, 486, 498, 504 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A005835.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

MATHEMATICA

idivs[x_] := If[x == 1, 1, Sort@Flatten@Outer[Times, Sequence @@ (FactorInteger[x] /. {p_, m_Integer} :> p^Select[Range[0, m], BitOr[m, #] == m &])]]; s = {}; Do[d = Most[idivs[n]]; c = SeriesCoefficient[Series[Product[1 + x^d[[i]], {i, Length[d]}], {x, 0, n}], n]; If[c > 0, AppendTo[s, n]], {n, 2, 1000}]; s

CROSSREFS

Cf. A005835, A007357, A049417, A126168, A129656, A293188, A292985, A318100, A306984.

Sequence in context: A335215 A292985 A335197 * A234648 A110926 A131906

Adjacent sequences:  A306980 A306981 A306982 * A306984 A306985 A306986

KEYWORD

nonn

AUTHOR

Amiram Eldar, Mar 18 2019

STATUS

approved

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Last modified August 14 03:43 EDT 2022. Contains 356110 sequences. (Running on oeis4.)