A336360 Numbers k for which bigomega(sigma(k)) >= bigomega(k), where bigomega (A001222) gives the number of prime factors with multiplicity, and sigma (A000203) gives the sum of divisors.

1, 2, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 17, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 97

Offset

1,2

Comments

Numbers k such that A058063(k) >= A001222(k).

If terms x and y are present and gcd(x,y) = 1, then x*y is present also. This follows because both A001222 and A058063 are additive sequences, their difference A336386 is also.

Links

Table of n, a(n) for n=1..82.

Prog

(PARI) isA336360(n) = (bigomega(sigma(n))>=bigomega(n));

Crossrefs

Cf. A000203, A001222, A058063, A336359 (complement).

Positions of nonnegative terms in A336386.

Sequence in context: A119316 A348964 A349026 * A102750 A349810 A317092

Adjacent sequences: A336357 A336358 A336359 * A336361 A336362 A336363

Keyword

nonn

Author

Antti Karttunen, Jul 20 2020

Status

approved