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A060087
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Numbers n such that n^2 is a palindromic square with an asymmetric root.
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1
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1109111, 110091011, 111091111, 10109901101, 10110911101, 11000910011, 11010911011, 11100910111, 1010099010101, 1010109110101, 1011099011101, 1100009100011, 1101009101011, 1110009100111, 100109990011001
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| With 'asymmetric' is meant almost palindromic with a 'core' (pseudo-palindromic). The core '09' when transformed into '1n' (n=-1) makes the base number palindromic. E.g. 1109111 is in fact 11_09_111 -> 11_(10-1)_111 -> 11_1n_111 -> 111n111 and palindromic. Similarly core 099 becomes 10n, core 0999 becomes 100n, etc.
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REFERENCES
| M. Keith, "Classification and Enumeration of Palindromic Squares," Journal of Recreational Mathematics, 22:2, pp. 124-132, 1990.
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LINKS
| P. De Geest, Subsets of Palindromic Squares
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CROSSREFS
| Cf. A060088, A007573, A059744, A059745.
Sequence in context: A172754 A184384 A086212 * A176999 A035613 A038449
Adjacent sequences: A060084 A060085 A060086 * A060088 A060089 A060090
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KEYWORD
| nonn,base
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com), Feb 15 2001.
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