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A305077 Partial sums of absolute values of A076191. 0

%I #6 May 24 2018 23:11:08

%S 1,1,2,3,4,5,7,8,8,9,11,13,14,14,16,19,21,23,25,26,26,27,30,32,32,33,

%T 33,35,37,39,43,46,46,46,48,51,52,52,54,57,59,61,63,63,64,65,69,72,73,

%U 74,75,77,80,82,84,86,86,87,90,93,94,95,98,102,103,105,107,108,109,111,115,119,120,121

%N Partial sums of absolute values of A076191.

%H Math Overflow, <a href="https://mathoverflow.net/questions/301074/asymptotic-formula-for-absolute-difference-of-number-of-prime-factors-between-co">Asymptotic formula for absolute difference of number of prime factors between consecutive integers</a>

%F a(n) = Sum_{k=1..n} |A001222(n+1) - A001222(n)|.

%p L:= map(numtheory:-bigomega, [$1..200]):

%p ListTools:-PartialSums(map(abs, L[2..-1]-L[1..-2]));

%Y Cf. A001222, A076191.

%K nonn

%O 1,3

%A _Robert Israel_, May 24 2018

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Last modified April 30 06:10 EDT 2024. Contains 372127 sequences. (Running on oeis4.)