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Position of initial digit of first string of n consecutive equal digits in the decimal expansion of the Golden ratio (phi), starting after the decimal point.
4

%I #15 Oct 24 2016 04:32:13

%S 1,5,129,1216,6399,99788,771950,771950,314529194

%N Position of initial digit of first string of n consecutive equal digits in the decimal expansion of the Golden ratio (phi), starting after the decimal point.

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

%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) = 1216.

%Y Cf. A001622, A224844, A244601, A244602, A277260.

%K nonn,base,more

%O 1,2

%A _Felix Fröhlich_, Oct 07 2016