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A331557
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The upper (or right) offset of a 196-iterate (A006960) from the smallest palindrome greater than the iterate.
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2
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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
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OFFSET
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1,1
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COMMENTS
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When normalized over (0,1) by their respective palindrome-free interval about a 196-iterate, 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 196-iterates referred to here come from the reverse-and-add process generating A006960.
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LINKS
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FORMULA
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EXAMPLE
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The first term is 6 since 202-196 = 6;
The second term is 1 since 888-887 = 1; etc.
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PROG
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(Python)
# Upper 196 offsets. Slow brute force
n = 196
while n < 10**15:
m = n
while m != int(str(m)[::-1]): m+=1
print(m-n)
n = n + int(str(n)[::-1])
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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