A030175 When squared gives number composed of digits {1,2,3}.

1, 11, 111, 36361, 363639, 461761, 3636361, 34815389, 362397739, 176412364139, 57637950363639, 3497458093147239, 56843832676142723489, 557963558954625926861

Offset: 1

Author

Patrick De Geest

Keywords

• nonn
• base

Links

• P. De Geest, Squares containing at most three distinct digits, Index entries for related sequences
• Author?, Source(txt)
• Hisanori Mishima, Sporadic tridigital solutions
• Eric Weisstein's World of Mathematics, Square Number.
• Index entries for sequences related to squares.

Crossrefs

Cf. A030174; A000290.

Cf. A006716 = A027675^2, A030176 = A030177^2, A058411^2 = A058412, ..., A058473^2 = A058474.

Cf. A136808, A136809, ..., A137147: n and n^2 have digits {...}.

Cf. A277959^2 = A277946 and A277960^2 = A277947: squares whose largest digit is 2 resp. 3.

Programs

Mathematica

Do[ If[ Union[ Join[{1, 2, 3}, IntegerDigits[n^2] ] ] == {1, 2, 3}, Print[n] ], {n, 0, 10^9}]

PARI

lista(nn) = for(n=1, nn, if(setminus(vecsort(digits(n^2), , 8), [1, 2, 3])==[], print1(n, ", "))) \\ Iain Fox, Nov 16 2017

Formula

a(n)^2 = A030174(n). - M. F. Hasler, Nov 16 2017

Extensions

More terms from Patrick De Geest, Mar 01 2000

More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 14 2005

Offset corrected by Iain Fox, Nov 16 2017