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A115426
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Numbers n such that the concatenation of n with n+2 gives a square.
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24
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7874, 8119, 69476962, 98010199, 108746354942, 449212110367, 544978035127, 870501316279, 998001001999, 1428394731903223, 1499870932756487, 1806498025502498, 1830668275445687, 1911470478658759, 2255786189655202
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Numbers n such that n concatenated with n+1 gives the product of two numbers which differ by 2.
Numbers n such that n concatenated with n-2 gives the product of two numbers which differ by 4.
Numbers n such that n concatenated with n-7 gives the product of two numbers which differ by 6.
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EXAMPLE
| 8119//8121 = 9011^2, where // denotes concatenation.
98010199//98010200 = 99000100 * 99000102.
98010199//98010197 = 99000099 * 99000103.
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CROSSREFS
| Cf. A030465, A102567, A115427, A115428, A115429, A115430, A115431, A115432, A115433, A115434, A115435, A115436, A115437.
Cf. A116106, A116110, A116112, A116125, A116242.
Cf. A116136, A116143, A116107, A116275, A116163, A116099, A116177, A116295.
Sequence in context: A045277 A099498 A045292 * A206069 A171111 A155178
Adjacent sequences: A115423 A115424 A115425 * A115427 A115428 A115429
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KEYWORD
| base,nonn
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AUTHOR
| Giovanni Resta (g.resta(AT)iit.cnr.it), Jan 24 2006
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Apr 13 2007
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