This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A374380 #28 Jul 31 2024 11:53:16 %S A374380 2,8,114,227,340,453,566,679,33103,66318,265382,1360121,1725034, %T A374380 25510583,78256780,209259756,340262732,1151791170,1963319608, %U A374380 6701487260,13402974519,20104461778,26805949037,33507436296,40208923555,46910410814,53611898073,574364584668 %N A374380 Numbers b such that the base-b expansion of Pi has two equal digits immediately after the radix point. %C A374380 The probability that this occurs in a random base-b number is 1/b, so the divergence of the harmonic series suggests this sequence is infinite. a(28) = 574364584668 is the largest term < 10^12. %C A374380 If 1 is added to terms of A002486, many of the resulting numbers (roughly 60%) are terms of this sequence. - _Mike Keith_, Jul 28 2024 %e A374380 2 is a term since Pi in base 2 is 11.00... which has two equal digits 0,0. %e A374380 114 is a term since Pi in base 114 is 3.(16)(16)... which has two equal "digits" 16 and 16. %Y A374380 Cf. A000796 (Pi), A336017 (second digit after radix point), A002486 (continued fraction convergent denominators). %K A374380 nonn %O A374380 1,1 %A A374380 _Mike Keith_, Jul 06 2024