A305077 - OEIS

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A305077

Partial sums of absolute values of A076191.

0

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

(list; graph; refs; listen; history; text; internal format)

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