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Factorial expansion of sqrt(7) = Sum_{n>=1} a(n)/n!.
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%I #30 Dec 20 2018 23:36:48

%S 2,1,0,3,2,2,6,4,6,2,3,11,2,8,11,8,16,5,5,16,19,5,1,14,16,7,14,10,27,

%T 12,10,29,28,19,16,3,6,4,28,33,24,21,42,10,2,45,3,34,4,1,46,48,8,5,41,

%U 20,53,17,31,50,10,6,56,27,29,18,15,11,19,49,37,64,56,51,34,21,3,27,15,61

%N Factorial expansion of sqrt(7) = Sum_{n>=1} a(n)/n!.

%H <a href="https://oeis.org/wiki/Index_to_OEIS:_Section_Fa#facbase">Index entries for factorial base representation</a>

%e sqrt(7) = 2 + 1/2! + 0/3! + 3/4! + 2/5! + 2/6! + 6/7! + 4/8! + 6/9! + ...

%p Digits:=200: a:=n->`if`(n=1,floor(sqrt(7)),floor(factorial(n)*sqrt(7))-n*floor(factorial(n-1)*sqrt(7))): seq(a(n),n=1..90); # _Muniru A Asiru_, Dec 10 2018

%Y Cf. A010465 (decimal expansion), A010121 (continued fraction).

%Y Cf. A009949 (sqrt(2)), A067881 (sqrt(3)), A068446 (sqrt(5)).

%K nonn

%O 1,1

%A _G. C. Greubel_, Dec 10 2018