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Search: id:A072471
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| A072471 |
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Squares such that the sum of two neighboring term is also a square. |
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+0
1
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| 0, 25, 144, 256, 900, 1600, 1764, 3136, 8100, 14400, 15876, 28224, 50176, 129600, 142884, 254016, 302500, 1742400, 1920996, 3415104, 3956121, 7033104, 8767521, 15586704, 27709696, 64834704, 94303521, 167650704, 298045696, 617621904
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The sequence is unbounded.
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EXAMPLE
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144 is a term as 144 + 25 ( the previous term ) = 169 is a square and also 144 + 1225 ( the next term ) = 1369 = 37^2.
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MATHEMATICA
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a[0] = 0; a[1] = 25; a[n_] := a[n] = (k = Sqrt[a[n - 1]] + 1; While[ !IntegerQ[ Sqrt[a[n - 1] + k^2]], k++ ]; k^2); Table[ a[n], {n, 0, 30}]
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CROSSREFS
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Cf. A072470.
Sequence in context: A147505 A147360 A147223 this_sequence A017042 A100255 A052501
Adjacent sequences: A072468 A072469 A072470 this_sequence A072472 A072473 A072474
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 20 2002
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 21 2002
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