A222312 a(n) = n + A001222(n) - 1.

0, 2, 3, 5, 5, 7, 7, 10, 10, 11, 11, 14, 13, 15, 16, 19, 17, 20, 19, 22, 22, 23, 23, 27, 26, 27, 29, 30, 29, 32, 31, 36, 34, 35, 36, 39, 37, 39, 40, 43, 41, 44, 43, 46, 47, 47, 47, 52, 50, 52, 52, 54, 53, 57, 56, 59, 58, 59, 59, 63, 61, 63, 65, 69, 66, 68, 67, 70, 70, 72, 71, 76, 73, 75, 77, 78, 78, 80, 79, 84, 84, 83

Offset

1,2

Comments

a(n) = n + (number of prime factors counted with multiplicity) - 1.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Maple

with(numtheory); [seq(n+bigomega(n)-1, n=1..100)];

Mathematica

Table[n+PrimeOmega[n]-1, {n, 90}] (* Harvey P. Dale, Feb 01 2014 *)

Crossrefs

Cf. A001222, A213980.

Sequence in context: A246578 A048947 A342658 * A378542 A344404 A298676

Adjacent sequences: A222309 A222310 A222311 * A222313 A222314 A222315

Keyword

nonn

Author

N. J. A. Sloane, Feb 16 2013

Status

approved