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 A007621 Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620). (Formerly M5337) 4
 70, 102, 114, 138, 174, 186, 222, 246, 258, 282, 318, 350, 354, 366, 372, 402, 426, 438, 444, 474, 490, 492, 498, 516, 534, 550, 564, 572, 582, 606, 618, 636, 642, 650, 654, 678, 708, 732, 738, 748, 762, 770, 774, 786, 804, 822, 834, 836, 846, 852, 876, 894 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES R. Honsberger, Mathematical Gems, M.A.A., 1973, p. 113. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 Robert G. Wilson v, Letter to N. J. A. Sloane, date unknown. MATHEMATICA practicalQ[n_] := Module[{d = Divisors[n], c}, c = Rest[CoefficientList[Series[Product[1 + x^d[[i]], {i, Length[d]}], {x, 0, n}], x]]; Flatten[Position[c, 0]] == {} && c[[-1]] > 1]; Select[2*Range[500], DivisorSigma[1, #] > 2 # && ! practicalQ[#] &] (* T. D. Noe, Jun 25 2012 *) CROSSREFS A173490 with A007620 removed. Cf. A035480. Sequence in context: A136117 A224553 A156718 * A051971 A180274 A075004 Adjacent sequences:  A007618 A007619 A007620 * A007622 A007623 A007624 KEYWORD nonn AUTHOR EXTENSIONS More terms from David W. Wilson. STATUS approved

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Last modified June 2 14:21 EDT 2020. Contains 334787 sequences. (Running on oeis4.)