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

1,2

References

Elena Deza and Michel Marie Deza, Figurate numbers, World Scientific Publishing (2012), page 423.

Links

Table of n, a(n) for n=1..14.

Patrick 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.

Formula

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

Mathematica

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

Prog

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

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.

Sequence in context: A131293 A108047 A144784 * A263805 A058949 A378022

Adjacent sequences: A030172 A030173 A030174 * A030176 A030177 A030178

Keyword

nonn,base

Author

Patrick De Geest

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

Status

approved