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Decimal expansion of sqrt(1*2 + sqrt(2*3 + sqrt(3*4 + sqrt(4*5 + sqrt(5*6 + ...))))).
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%I #4 Aug 15 2021 21:53:55

%S 2,2,7,6,7,8,1,0,8,3,5,2,3,0,9,2,6,0,7,7,1,3,4,9,7,1,7,1,3,2,5,4,1,7,

%T 3,2,4,0,7,9,0,4,2,2,2,0,1,5,3,3,9,9,6,4,0,7,1,0,5,2,8,8,9,5,8,0,5,5,

%U 4,0,6,7,6,8,6,4,3,9,9,3,1,3,6,6,1,5,5,6,9,3,1,3,0,4,5,0,8,7,4,3,4,2,9,0,1,4,3,5,4,5

%N Decimal expansion of sqrt(1*2 + sqrt(2*3 + sqrt(3*4 + sqrt(4*5 + sqrt(5*6 + ...))))).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/NestedRadical.html">Nested Radical</a>

%e 2.276781083523092607713497171325417324079...

%Y Cf. A002378, A072449, A099876, A099879, A296041.

%K nonn,cons

%O 1,1

%A _Ilya Gutkovskiy_, Aug 15 2021