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A238496 Number of prime factors in A052129(n). 1
0, 0, 1, 3, 8, 17, 36, 73, 149, 300, 602, 1205, 2413, 4827, 9656, 19314, 38632, 77265, 154533, 309067, 618137, 1236276, 2472554, 4945109, 9890222, 19780446, 39560894, 79121791, 158243585, 316487171, 632974345, 1265948691, 2531897387 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..32.

FORMULA

a(n) = 2*a(n-1) + A001222(n) for n>=1; a(0) = 0.

a(n) = Sum_{i=1..n} 2^(n-i)*A001222(i). - Ridouane Oudra, Nov 11 2019

MAPLE

with(numtheory): seq(add(2^(n-i)*bigomega(i), i=1..n), n=0..40); # Ridouane Oudra, Nov 11 2019

PROG

(PARI) a(n) = if (n==0, 0, 2*a(n-1) + bigomega(n)); \\ Michel Marcus, May 25 2014

CROSSREFS

Cf. A001222, A052129, A238462.

Sequence in context: A147419 A106691 A140176 * A097391 A202554 A034481

Adjacent sequences:  A238493 A238494 A238495 * A238497 A238498 A238499

KEYWORD

nonn,easy

AUTHOR

Bob Selcoe, Feb 27 2014

STATUS

approved

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Last modified October 5 11:53 EDT 2022. Contains 357255 sequences. (Running on oeis4.)