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A054215
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Squares that are concatenations of two consecutive decreasing numbers.
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9
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8281, 82428241, 98029801, 538277538276, 998002998001, 7783702677837025, 9998000299980001, 79225472657922547264, 86432513458643251344, 92237976109223797609, 99998000029999800001, 106710893290106710893289
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OFFSET
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1,1
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COMMENTS
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Infinitely many terms of this sequence are provided by A168624(k)^2 for k>0. - Bruno Berselli, Mar 13 2018
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REFERENCES
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Luca, Florian, and Pantelimon Stănică. "Perfect Squares as Concatenation of Consecutive Integers." The American Mathematical Monthly 126.8 (2019): 728-734.
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LINKS
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FORMULA
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EXAMPLE
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E.g. '8242' + '8242-1' gives 82428241 which is 9079^2.
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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