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.

A090343 Difference between the sums of the prime factors, including multiplicity, of n and those of n + 4.

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%I A090343 #8 Jul 02 2022 17:43:05
%S A090343 -5,-3,-4,-2,-1,-2,-4,-1,-7,-2,3,-1,-4,1,-11,-1,7,-5,-4,0,0,-2,14,-2,
%T A090343 -19,5,-22,1,15,-9,19,0,-23,-2,-4,-1,-4,9,-27,-4,30,-13,-4,4,-3,13,27,
%U A090343 -6,-39,1,4,4,31,-20,-43,1,-39,-2,46,0,43,17,-54,-9,-8,2,-4,9,-47,-25,58,-11,55,21,-66,10,6,-25,-4,-1,-10,-2,51,-3,-67
%N A090343 Difference between the sums of the prime factors, including multiplicity, of n and those of n + 4.
%F A090343 a(n) = A001414(n) - A001414(n+4). - _Wesley Ivan Hurt_, Aug 29 2016
%e A090343 a(24)=-2 because 24=2*2*2*3, 28=2*2*7 and (2+2+2+3)-(2+2+7)=-2.
%t A090343 Join[{-5},#[[1]]-#[[5]]&/@Partition[Table[Total[Times@@@FactorInteger[n]],{n,2,90}],5,1]] (* _Harvey P. Dale_, Jul 02 2022 *)
%Y A090343 Cf. A001414, A090340, A090341, A090342.
%K A090343 sign
%O A090343 1,1
%A A090343 Charles K. Layman (cklayman(AT)juno.com), Nov 25 2003