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.

A081770 Numbers twice their squarefree kernel (A007947).

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%I A081770 #16 Nov 03 2020 03:41:27
%S A081770 4,12,20,28,44,52,60,68,76,84,92,116,124,132,140,148,156,164,172,188,
%T A081770 204,212,220,228,236,244,260,268,276,284,292,308,316,332,340,348,356,
%U A081770 364,372,380,388,404,412,420,428,436,444,452,460,476,492,508,516,524
%N A081770 Numbers twice their squarefree kernel (A007947).
%C A081770 From _Amiram Eldar_, Nov 02 2020: (Start)
%C A081770 Numbers k such that A280292(k) = 2.
%C A081770 The asymptotic density of this sequence is 1/Pi^2 (A092742). (End)
%H A081770 Reinhard Zumkeller, <a href="/A081770/b081770.txt">Table of n, a(n) for n = 1..10000</a>
%F A081770 a(n) = 2*A039956(n) = 4*A056911(n).
%e A081770 84=2*2*3*7=2*(2*3*7)=2*rad(84), therefore 84 is a term.
%t A081770 4 * Select[Range[1, 100, 2], SquareFreeQ] (* _Amiram Eldar_, Nov 02 2020 *)
%o A081770 (PARI) is(n)=n%8==4 && issquarefree(n/4) \\ _Charles R Greathouse IV_, Jul 09 2013
%o A081770 (Haskell)
%o A081770 a081770 n = a081770_list !! (n-1)
%o A081770 a081770_list = filter ((== 1) . a008966 . (`div` 4)) a017113_list
%o A081770 -- _Reinhard Zumkeller_, Jul 13 2013
%Y A081770 Cf. A001414, A005117, A007947, A008472, A008966, A013929, A039956, A056911, A092742, A280292.
%Y A081770 Subsequence of A017113.
%K A081770 nonn,easy
%O A081770 1,1
%A A081770 _Reinhard Zumkeller_, Apr 10 2003