

A331557


The upper (or right) offset of a 196iterate (A006960) from the smallest palindrome greater than the iterate.


2



6, 1, 96, 11, 48, 11, 10, 693, 732, 231, 110, 10901, 10901, 5600, 1100, 110, 1000, 12375, 108911, 96416, 99901, 470118, 110, 1089011, 999074, 110000, 2508495, 109901, 1770356, 11, 40076938, 99110000, 10901000, 56662095, 9911, 137056546, 1099890110, 545350309
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

When normalized over (0,1) by their respective palindromefree interval about a 196iterate, it has been empirically observed that the frequency distribution of this sequence appears to be quite symmetric about 0.5, as well as fractal when plotting the distribution over decreasing bin sizes.
The 196iterates referred to here come from the reverseandadd process generating A006960.


LINKS



FORMULA



EXAMPLE

The first term is 6 since 202196 = 6;
The second term is 1 since 888887 = 1; etc.


PROG

(Python)
# Upper 196 offsets. Slow brute force
n = 196
while n < 10**15:
m = n
while m != int(str(m)[::1]): m+=1
print(mn)
n = n + int(str(n)[::1])


CROSSREFS



KEYWORD

nonn,base


AUTHOR



EXTENSIONS



STATUS

approved



