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Decimal expansion of log(25).
3

%I #27 Aug 07 2023 17:52:58

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

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

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

%N Decimal expansion of log(25).

%D M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 2.

%H Harry J. Smith, <a href="/A016648/b016648.txt">Table of n, a(n) for n = 1..20000</a>

%H M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals 10 * Sum_{k>=1} F(k)^2/(k * 4^k), where F(k) is the k-th Fibonacci number (A000045). - _Amiram Eldar_, Aug 09 2020

%F Equals 2*A016628. - _Alois P. Heinz_, Aug 07 2023

%e 3.218875824868200749201518666452375279051202708537035443825295782948357....

%t RealDigits[Log[25], 10, 120][[1]] (* _Vincenzo Librandi_, Jun 21 2015 *)

%o (PARI) default(realprecision, 20080); x=log(25); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016648.txt", n, " ", d)); \\ _Harry J. Smith_, May 19 2009

%Y Cf. A000045, A016453 (continued fraction), A016628.

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_