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

1,2

Links

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

Example

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

Prog

(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

Crossrefs

Cf. A239210, A239211, A239213.

Sequence in context: A355177 A038775 A065029 * A280558 A216920 A120754

Adjacent sequences: A239209 A239210 A239211 * A239213 A239214 A239215

Keyword

nonn,base

Author

Colin Barker, Mar 12 2014

Status

approved