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.
%I A373414 #9 Aug 02 2024 05:21:59 %S A373414 4,17,12,16,18,20,49,55,32,36,40,89,147,52,54,56,60,127,68,72,151,161, %T A373414 84,88,90,92,96,297,104,108,112,233,241,375,128,132,271,140,144,295, %U A373414 150,305,156,160,162,164,337,343,351,180,184,377,192,196,198,200,204 %N A373414 Sum of the n-th maximal run of nonsquarefree numbers differing by one. %C A373414 The length of this run is given by A053797. %C A373414 A run of a sequence (in this case A013929) is an interval of positions at which consecutive terms differ by one. %H A373414 Gus Wiseman, <a href="/A373403/a373403.txt">Four statistics for runs and antiruns of prime, nonprime, squarefree, and nonsquarefree numbers</a> %e A373414 Row-sums of: %e A373414 4 %e A373414 8 9 %e A373414 12 %e A373414 16 %e A373414 18 %e A373414 20 %e A373414 24 25 %e A373414 27 28 %e A373414 32 %e A373414 36 %e A373414 40 %e A373414 44 45 %e A373414 48 49 50 %t A373414 Total/@Split[Select[Range[100],!SquareFreeQ[#]&],#1+1==#2&]//Most %Y A373414 The partial sums are a subset of A329472. %Y A373414 Functional neighbors: A053797, A053806, A054265, A373406, A373412, A373413. %Y A373414 A005117 lists the squarefree numbers, first differences A076259. %Y A373414 A013929 lists the nonsquarefree numbers, first differences A078147. %Y A373414 Cf. A049093, A049094, A061398, A061399, A077641, A077643, A101836, A143658 A294242, A373123, A373197. %K A373414 nonn %O A373414 1,1 %A A373414 _Gus Wiseman_, Jun 06 2024