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%I #10 Dec 30 2025 16:51:52
%S 0,3,29,54,78,438,0,745,5640,41468,70856,456305,0,810004,0,2384373,
%T 3438294,0,31206699,76531931,408722091,849627628,4360218434,
%U 7215407476,34641243880,52241626833,77511901788,578579632807,741443595515,3561938472560,30189910604585,61327132504535,0,534642368558121,813296806630117
%N Continued fraction that converts to its own decimal expansion; the sequence becomes strictly increasing when all zero terms are removed.
%C Because this continued fraction converts to its own decimal expansion (x = 0.3295478438074556404146870856456305081000402384373...), it is called a base-10 Trott number by Allaart.
%H Pieter Allaart et al., <a href="https://arxiv.org/abs/2108.03664">On the existence of numbers with matching continued fraction and decimal expansions</a>, arXiv:2108.03664 [math.NT], 2022.
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TrottConstants.html">Trott Constants</a>.
%Y Cf. A039662, A091694, A113307, A378147, A391759, A391760.
%K nonn,base,cofr
%O 0,2
%A _Jason Bard_, Dec 20 2025
%E a(34) corrected by _Sean A. Irvine_, Dec 30 2025