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A060088 Palindromic squares with an asymmetric square root. 2
1230127210321, 12120030703002121, 12341234943214321, 102210100272001012201, 102230523292325032201, 121020021070120020121, 121240161292161042121, 123230205292502032321, 1020300010207020100030201 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=1..9.

P. De Geest, Subsets of Palindromic Squares

CROSSREFS

Cf. A060087, A007573, A059744, A059745.

Sequence in context: A233842 A234065 A271447 * A077300 A083407 A287262

Adjacent sequences:  A060085 A060086 A060087 * A060089 A060090 A060091

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Feb 15 2001.

STATUS

approved

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Last modified June 20 09:12 EDT 2019. Contains 324234 sequences. (Running on oeis4.)