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A115426 Numbers n such that the concatenation of n with n+2 gives a square. +0
25
7874, 8119, 69476962, 98010199, 108746354942, 449212110367, 544978035127, 870501316279, 998001001999, 1428394731903223, 1499870932756487, 1806498025502498, 1830668275445687, 1911470478658759, 2255786189655202 (list; graph; listen)
OFFSET

1,1

COMMENT

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.

EXAMPLE

8119//8121 = 9011^2, where // denotes concatenation.

98010199//98010200 = 99000100 * 99000102.

98010199//98010197 = 99000099 * 99000103.

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 this_sequence A031922 A121236 A001228

Adjacent sequences: A115423 A115424 A115425 this_sequence A115427 A115428 A115429

KEYWORD

base,nonn

AUTHOR

Giovanni Resta (g.resta(AT)iit.cnr.it), Jan 24 2006

EXTENSIONS

Edited by njas, Apr 13 2007

page 1

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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