OFFSET
1,2
COMMENTS
See A061267 for the corresponding squares (the so-called ultrasquares). - M. F. Hasler, Oct 25 2022
REFERENCES
Amarnath Murthy, Infinitely many common members of the Smarandache Additive as well as multiplicative square sequence, (To be published in Smarandache Notions Journal).
Felice Russo, A set of new Smarandache functions, sequences and conjectures in number theory, American Research Press 2000
EXAMPLE
212^2 = 44944, 4+4+9+4+4 = 25 = 5^2 and 4*4*9*4*4 = 2304 = 48^2.
PROG
(PARI) select( {is_A061268(n)=vecmin(n=digits(n^2))&&issquare(vecprod(n))&&issquare(vecsum(n))}, [1..4567]) \\ M. F. Hasler, Oct 25 2022
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Amarnath Murthy, Apr 24 2001
EXTENSIONS
More terms from Larry Reeves (larryr(AT)acm.org), May 11 2001
STATUS
approved