

A221280


Numbers m such that lambda(m) = lambda(m+1), where lambda(n) = A008836(n) is the Liouville function.


3



2, 7, 9, 11, 12, 14, 15, 17, 18, 19, 21, 24, 25, 27, 28, 29, 30, 31, 33, 34, 35, 38, 39, 41, 42, 43, 44, 47, 52, 54, 55, 56, 57, 64, 66, 67, 70, 71, 72, 75, 78, 79, 81, 84, 85, 86, 87, 90, 93, 94, 95, 97, 98, 101, 102, 107, 108, 109, 112, 113, 116, 118, 121, 122, 124, 127, 130
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OFFSET

1,1


COMMENTS

Sequence is infinite. Density is conjecturally 1/2; it is easy to show that the density is at least 1/4 (one of k, 2k, and 2k+1 is in this sequence).
m is a term iff lambda(A000217(m)) = 1. See link.  Jon Maiga, Jan 03 2019


LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
J. Maiga, Liouville's function and triangular numbers, 2018.


MATHEMATICA

Select[ Range[130], LiouvilleLambda[#] == LiouvilleLambda[# + 1] &] (* JeanFrançois Alcover, Jul 30 2013 *)


PROG

(PARI) is(n)=(1)^bigomega(n)==(1)^bigomega(n+1)


CROSSREFS

Cf. A000217, A008836, A221281, A221282.
Sequence in context: A073074 A034796 A047526 * A166570 A003668 A191263
Adjacent sequences: A221277 A221278 A221279 * A221281 A221282 A221283


KEYWORD

nonn


AUTHOR

Charles R Greathouse IV, Jan 09 2013


STATUS

approved



