OFFSET
1,1
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.
REFERENCES
M. Keith, "Classification and Enumeration of Palindromic Squares," Journal of Recreational Mathematics, 22:2, pp. 124-132, 1990.
LINKS
Hugo Pfoertner, Table of n, a(n) for n = 1..10032
Patrick De Geest, Subsets of Palindromic Squares
IBM Research Ponder This, Non-palindromic numbers with palindromic squares, October 2023 - Challenge.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Patrick De Geest, Feb 15 2001
STATUS
approved