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Largest k with 2n divisors such that the binary representations of k-1 and k+1 are in base 2 each digitally balanced with 4n digits.
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%I #16 Apr 26 2022 16:07:49

%S 11,203,3971,64771,1011875,16752659,267475203,4294709251,68715414027,

%T 1099495919619

%N Largest k with 2n divisors such that the binary representations of k-1 and k+1 are in base 2 each digitally balanced with 4n digits.

%F a(n) = Max_{k: k in A191292, A000005(k)=2n, A070939(k-1)=A070939(k+1)=4*n}. - _R. J. Mathar_, Jun 24 2011

%e a(2) = 203 as 203 has 4 = 2*2 divisors and 202 and 204 are both balanced. - _David A. Corneth_, Apr 26 2022

%Y Cf. A031443, A191292, A191369, A191534.

%Y Cf. A000005, A070939.

%K nonn,base,more

%O 1,1

%A _Juri-Stepan Gerasimov_, Jun 05 2011

%E a(4)-a(6) from _R. J. Mathar_, Jun 24 2011

%E a(7)-a(10) from _David A. Corneth_, Apr 26 2022