

A326414


Numbers which require exactly 288 'Reverse and Add' steps to reach a palindrome.


1



12000700000025339936491, 12000700001015339936491, 12000700002005339936491, 12000700010024339936491, 12000700011014339936491, 12000700012004339936491, 12000700020023339936491, 12000700021013339936491, 12000700022003339936491, 12000700030022339936491
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OFFSET

1,1


COMMENTS

The sequence starts with 12000700000025339936491 (the number discovered by Rob van Nobelen on April 26, 2019), ends with 29463993352000000700020 and contains 19353600 terms known at present.


REFERENCES

Popular Computing (Calabasas, CA), The 196 Problem, Vol. 3 (No. 30, Sep 1975).


LINKS

Sergei D. Shchebetov, Table of n, a(n) for n = 1..10000
Jason Doucette, World Records
Yutaka Nishiyama, Numerical Palindromes and the 196 Problem, International Journal of Pure and Applied Mathematics, Volume 80, No. 3, 2012, 375384.
Sergei D. Shchebetov, 19353600 terms (zipped file)
R. Styer, The Palindromic Conjecture and the Fibonacci Sequence, Villanova University, 1986, 111.
C. W. Trigg, Palindromes by Addition, Mathematics Magazine, 40 (1967), 2628.
C. W. Trigg, More on Palindromes by ReversalAddition, Mathematics Magazine, 45 (1972), 184186.
Wikipedia, Lychrel Number
196 and Other Lychrel Numbers, 196 and Lychrel Number
Index entries for sequences related to Reverse and Add!


FORMULA

Each term requires exactly 288 steps to turn into a 142digit palindrome.


CROSSREFS

Cf. A023109, A033672, A065198, A065199, A065320, A065321, A065322, A065323, A065324, A065325, A065326, A065327, A070743, A072216, A072217, A072218, A281301, A281390, A281506, A281507.
Sequence in context: A171265 A180247 A095440 * A162033 A246254 A238360
Adjacent sequences: A326411 A326412 A326413 * A326415 A326416 A326417


KEYWORD

nonn,base


AUTHOR

Andrey S. Shchebetov and Sergei D. Shchebetov, Oct 18 2019


STATUS

approved



