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A107677 Numbers A such that the square of concatenation AA is of form NNMM. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 20 21:16 EDT 2021. Contains 345245 sequences. (Running on oeis4.)