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

0,1

Comments

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

Links

Table of n, a(n) for n=0..19.

Example

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.

Sequence in context: A267239 A001174 A067975 * A091877 A050631 A235714

Adjacent sequences: A065295 A065296 A065297 * A065299 A065300 A065301

Keyword

base,nonn,more

Author

Floor van Lamoen, Oct 29 2001

Extensions

More terms from Marc Paulhus, Feb 04 2002

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

Status

approved