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.

A268314 First term of a run of at least 11 consecutive integers which are not squarefree.

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%I A268314 #16 Oct 06 2016 05:14:53
%S A268314 221167422,1407472722,3639720042,3865964268,4982931368,5005996146,
%T A268314 7108776620,8044261244,10249558974,12766690268,13585489166,
%U A268314 19792784322,26995377572,30410811296,30477326444,32070270968,34317891368,39956560824,40841363528,42216508746,43133805944,46295514872,47255689915
%N A268314 First term of a run of at least 11 consecutive integers which are not squarefree.
%C A268314 a(23) is the first term beginning a 12-chain. - _Bill Hannaford_, Oct 06 2016
%F A268314 A268314 = { A268313[k] | A268313[k+1] = A268313[k]+1 } = { A078143[k] | A078143[k+2] = A078143[k]+2 } = { A077647[k] | A077647[k+3] = A077647[k]+3 } = { A077640[k] | A077640[k+4] = A077640[k]+4 }.
%t A268314 s11[x_] := Apply[Plus, Table[Abs[MoebiusMu[x+j]], {j, 0, 10}]]; Do[If[Equal[s11[n], 0], Print[n]], {n, 10^8, 10^13}]
%Y A268314 Cf. A013929, A045882 (first of the k-chains), A051681.
%Y A268314 Cf. A068781 (2-chains), A070258 (3-chains), A070284 (4-chains), A078144 (5-chains), A049535 (6-chains), A077640 (7-chains), A077647 (8-chains), A078143 (9-chains), A268313 (10-chains).
%K A268314 nonn
%O A268314 1,1
%A A268314 _M. F. Hasler_, Feb 01 2016
%E A268314 a(12)-a(23) from _Bill Hannaford_, Oct 06 2016