A305077 Partial sums of absolute values of A076191.

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

Offset

1,3

Links

Table of n, a(n) for n=1..74.

Math Overflow, Asymptotic formula for absolute difference of number of prime factors between consecutive integers

Formula

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

Maple

L:= map(numtheory:-bigomega, [$1..200]):
ListTools:-PartialSums(map(abs, L[2..-1]-L[1..-2]));

Crossrefs

Cf. A001222, A076191.

Sequence in context: A364772 A107900 A112922 * A302175 A228683 A133017

Adjacent sequences: A305074 A305075 A305076 * A305078 A305079 A305080

Keyword

nonn

Author

Robert Israel, May 24 2018

Status

approved