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A115429
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Numbers n such that the concatenation of n with n+8 gives a square.
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25
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6001, 6433, 11085116, 44496481, 96040393, 115916930617, 227007035017, 274101929528, 434985419768, 749978863753, 996004003993, 1365379857457948, 1410590590957816, 1762388551055953, 2307340946901148, 2700383162251217
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Also numbers n such that n concatenated with n+7 gives the product of two numbers which differ by 2.
Also numbers n such that n concatenated with n+4 gives the product of two numbers which differ by 4.
Also numbers n such that n concatenated with n-1 gives the product of two numbers which differ by 6.
Also numbers n such that n concatenated with n-8 gives the product of two numbers which differ by 8.
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EXAMPLE
| 6001//6009 = 7747^2, where // denotes concatenation.
96040393//96040400 = 98000200 * 98000202.
96040393//96040397 = 98000199 * 98000203.
96040393//96040392 = 98000198 * 98000204.
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CROSSREFS
| Cf. A030465, A102567, A115426, A115437, A115428, A115430, A115431, A115432, A115433, A115434, A115435, A115436, A115440.
Cf. A116107, A116109, A116113, A116239.
Cf. A116205, A115430, A116335, A116185, A116187, A116317.
Cf. A116131, A116112, A116152, A116159, A116282.
Sequence in context: A046903 A171351 A068132 * A046395 A143043 A206113
Adjacent sequences: A115426 A115427 A115428 * A115430 A115431 A115432
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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 15 2007
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