cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A007621 Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).

This page as a plain text file.
%I A007621 M5337 #20 Jun 22 2017 10:58:50
%S A007621 70,102,114,138,174,186,222,246,258,282,318,350,354,366,372,402,426,
%T A007621 438,444,474,490,492,498,516,534,550,564,572,582,606,618,636,642,650,
%U A007621 654,678,708,732,738,748,762,770,774,786,804,822,834,836,846,852,876,894
%N A007621 Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).
%D A007621 R. Honsberger, Mathematical Gems, M.A.A., 1973, p. 113.
%D A007621 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A007621 T. D. Noe, <a href="/A007621/b007621.txt">Table of n, a(n) for n = 1..1000</a>
%H A007621 Robert G. Wilson v, <a href="/A007621/a007621.pdf">Letter to N. J. A. Sloane</a>, date unknown.
%t A007621 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 *)
%Y A007621 A173490 with A007620 removed. Cf. A035480.
%K A007621 nonn
%O A007621 1,1
%A A007621 _N. J. A. Sloane_, _Mira Bernstein_, _Robert G. Wilson v_
%E A007621 More terms from _David W. Wilson_.