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Search: id:A110460
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| A110460 |
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Least multiple of n such that every concatenation is a perfect square. |
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+0
1
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| 1, 6, 9, 744, 4179600, 8448511339584, 5768007101259200000000000049, 5174534068654382362457957919012519218990703784333328400, 27388066788668189787788892627720309836782181587536497095617493188146843279866975\ 92167893627634348717226004356
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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1,16,169,1695204 are all squares.
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PROGRAM
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Contribution from David Wasserman (dwasserm(AT)earthlink.net), Dec 03 2008: (Start)
(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, 15, p = f(n, num); print(p[2]); num = p[1]); (End)
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CROSSREFS
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A061110 [From David Wasserman (dwasserm(AT)earthlink.net), Dec 03 2008]
Sequence in context: A156180 A053490 A061110 this_sequence A159190 A004075 A052193
Adjacent sequences: A110457 A110458 A110459 this_sequence A110461 A110462 A110463
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 04 2005
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EXTENSIONS
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More terms from David Wasserman (dwasserm(AT)earthlink.net), Dec 03 2008
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