A323084 k-digit numbers whose digit(s) are the number of distinct prime factors (with multiplicity) in each of the following k integers.

0, 1, 12, 21, 4224, 153426, 442451, 471614, 523291, 4336232, 474335342, 3624263478, 36443455382, 244936365228, 452527642826, 593326437534, 4372566243537

Offset: 1

Author

G. L. Honaker, Jr., Jan 03 2019

Keywords

• nonn
• base
• more

Comments

a(6)-a(12) found by Carlos Rivera.

a(18) > 10^13. - Giovanni Resta, Jan 04 2019

Examples

			4224 is a term because 4224 is a 4-digit number whose digits (4,2,2,4) are the number of prime factors (with multiplicity) in each of the following 4 integers; i.e., 4225 = 5^2*13^2 (four prime factors), 4226 = 2*2113 (two prime factors), 4227 = 3*1409 (two prime factors), and 4228 = 2^2*7*151 (four prime factors), therefore (4,2,2,4) -> 4224.
		

Links

• Chris Caldwell and G. L. Honaker, Jr., Prime Curio for 4224

Crossrefs

Cf. A000040, A001222, A323083.

Extensions

a(13)-a(17) from Giovanni Resta, Jan 04 2019