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A110460 Least multiple of n such that every concatenation a(1)...a(i) for 1 <= i <= n is a perfect square. 0
1, 6, 9, 744, 4179600, 8448511339584, 5768007101259200000000000049, 5174534068654382362457957919012519218990703784333328400, 2738806678866818978778889262772030983678218158753649709561749318814684327986697592167893627634348717226004356 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
EXAMPLE
1, 16, 169, 169744 are all squares. [corrected by Harvey P. Dale, Aug 06 2019]
PROG
(PARI) f(n, num) = local(d, x); d = 1; while (1, x = sqrtint(num*10^d + 10^(d - 1) - 1) + 1; while (x^2 < (num + 1)*10^d && (x^2%10^d)%n, x++); if (x^2 < (num + 1)*10^d, return([x^2, x^2%10^d])); d++);
num = 0; for (n = 1, 10, p = f(n, num); print1(p[2], ", "); num = p[1]); \\ David Wasserman, Dec 03 2008
CROSSREFS
Cf. A061110.
Sequence in context: A367879 A264375 A061110 * A159190 A236766 A004075
KEYWORD
base,nonn
AUTHOR
Amarnath Murthy, Aug 04 2005
EXTENSIONS
More terms from David Wasserman, Dec 03 2008
Clarified definition. - N. J. A. Sloane, Sep 25 2023
STATUS
approved

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Last modified February 24 11:15 EST 2024. Contains 370303 sequences. (Running on oeis4.)