A107677 Numbers A such that the square of concatenation AA is of form NNMM.

8, 89, 98, 406, 593, 998, 4445, 4544, 5455, 5554, 9899, 9998, 34687, 44443, 55556, 65312, 90242, 99998, 219374, 285713, 286714, 296297, 297296, 340066, 362636, 363637, 374219, 416989, 583010, 625780, 636362, 637363, 659933, 702703, 703702

Offset

1,1

Comments

N and M must be of equal length, leading zeros are allowed. The corresponding values NM are in A107678.

Links

Table of n, a(n) for n=1..35.

Example

593 is in the sequence because we have 593593^2 = 352352649649; 998 is in the sequence since 998998^2 = 997997004004 (M has two leading zeros); 219374 is in the sequence since 219374219374^2 = 48125048125951876951876 (N has one leading zero).

Crossrefs

Cf. A107678, A106497.

Sequence in context: A006750 A082783 A137144 * A084005 A137494 A068498

Adjacent sequences: A107674 A107675 A107676 * A107678 A107679 A107680

Keyword

nonn,base

Author

Lekraj Beedassy, May 20 2005

Extensions

Edited, corrected and extended by Klaus Brockhaus, May 22 2005

Status

approved