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.

A302992 Number of abundant numbers < 10^n.

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%I A302992 #25 Jul 02 2022 16:13:02
%S A302992 0,21,245,2487,24794,247544,2476736,24760667,247610954,2476238920,
%T A302992 24761949212,247617948446,2476198914588,24762008009145,
%U A302992 247619645317536,2476194603970937,24761962442728106
%N A302992 Number of abundant numbers < 10^n.
%F A302992 Limit_{n->oo} a(n)/10^n = 0.2476... is the density of abundant numbers (A302991).
%t A302992 abQ[n_]:=DivisorSigma[1,n]>2n;c = 0; k = 1;  seq={}; Do[ While[ k < 10^n, If[ abQ[k], c++ ]; k ++]; AppendTo[seq,c], {n, 1, 5}];seq
%o A302992 (PARI) a(n) = sum(k=1, 10^n-1, sigma(k) > 2*k); \\ _Michel Marcus_, Apr 17 2018
%Y A302992 Cf. A000203, A005101, A302991.
%K A302992 nonn,more
%O A302992 1,2
%A A302992 _Amiram Eldar_, Apr 17 2018
%E A302992 a(10) from _Daniel Suteu_, Apr 22 2018
%E A302992 a(11)-a(17) from _Hiroaki Yamanouchi_, Aug 03 2018