login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A118938
Sub-Kaprekar numbers (2): n such that n=r-q and n^2=q*10^m+r, for some m>=1, q>=0, 0<=r<10^m, with n not a power of 10.
6
78, 287, 364, 1096, 18183, 336634, 2727274, 19138757, 23529412, 25974026, 97744361, 120879122, 140017878, 165991904, 237762239, 288553552, 307692308, 333666334, 405436669, 428571430, 440553516, 447710186, 454545455, 473684212
OFFSET
1,1
EXAMPLE
287^2 = 82369 and 369-82 = 287.
A larger example is 1980198021^2 = 3921184202372316441, and 2372316441-392118420 = 1980198021.
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Giovanni Resta, May 06 2006
STATUS
approved