A239212 Numbers n such that n^2 is divisible by each of its nonzero digits.

1, 2, 3, 6, 10, 12, 18, 20, 28, 30, 32, 36, 38, 42, 48, 50, 54, 60, 96, 100, 102, 108, 110, 114, 120, 138, 150, 156, 162, 168, 180, 192, 198, 200, 204, 210, 220, 264, 280, 288, 300, 306, 318, 320, 332, 336, 338, 342, 348, 350, 360, 372, 380, 390, 402, 408

Offset: 1

Author

Colin Barker, Mar 12 2014

Keywords

• nonn
• base

Examples

			198 is in the sequence because 198^2 = 39204 which is divisible by 3, 9, 2 and 4.
		

Links

• Colin Barker, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A239210, A239211, A239213.

Programs

PARI

isOK(n) = my(v=vecsort(digits(n^2), , 8)); for(i=1+(v[1]==0), #v, if(n^2%v[i], return(0))); 1
s=[]; for(n=1, 1000, if(isOK(n), s=concat(s, n))); s