A065298 a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) properly contained in the digits of a(n+1)^2, with a(0)=2.

2, 7, 43, 136, 367, 1157, 3658, 10183, 32193, 101407, 320537, 1001842, 3166463, 10001923, 31627114, 100017313, 316599084, 1000104687, 3162331407, 10000483663

Offset: 0

Author

Floor van Lamoen, Oct 29 2001

Keywords

• base
• nonn
• more

Comments

a(n) for n>0 remains the same when a(0)=3.

Examples

			43^2 = 1849 and 136 is the next smallest number whose square (in this case 18496) properly contains the digits 1,4,8,9.
		

Crossrefs

Cf. A050630, A050631, A048559, A050636, A065297.

Extensions

More terms from Marc Paulhus, Feb 04 2002

a(18)-a(19) from Sean A. Irvine, Aug 26 2023