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Value of decimal number corresponding to the string of equal digits starting at position A277259(n) after the decimal point in the decimal expansion of the Golden ratio (phi).
3

%I #16 Oct 24 2016 04:32:48

%S 6,33,222,4444,99999,555555,5555555,55555555,333333333

%N Value of decimal number corresponding to the string of equal digits starting at position A277259(n) after the decimal point in the decimal expansion of the Golden ratio (phi).

%H <a href="http://www.subidiom.com/pi/">Pi search engine</a> (searches initial 5 x 10^8 digits of phi)

%F a(n) = A001622(A277259(n)+1) * A002275(n).

%e 1205th to 1230th digits of phi are as follows: ...63972321340444494873023154...

%e The 1216th digit is occupied by the first of four consecutive 4's and there is no earlier occurrence of four or more consecutive equal digits, so a(4) = 4444.

%Y Cf. A001622, A224844, A244601, A244602, A277259.

%K nonn,base,more

%O 1,1

%A _Felix Fröhlich_, Oct 07 2016