# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a247017 Showing 1-1 of 1 %I A247017 #18 Mar 29 2024 10:58:38 %S A247017 8,7,0,0,5,7,7,2,6,7,2,8,3,1,5,5,0,6,7,3,4,6,4,8,7,9,9,5,3,6,0,8,7,4, %T A247017 3,7,5,0,8,1,0,7,3,3,3,6,2,5,9,4,0,0,5,3,7,8,8,5,8,3,3,8,5,1,9,6,5,2, %U A247017 5,8,4,2,7,1,4,4,2,9,5,4,0,0,8,3,7,2,1,9,5,0,7,8,7,7,1,9,4,2,9,6,9,1 %N A247017 Decimal expansion of integral_{0..infinity} exp(-x^2)*log(x) dx. %D A247017 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 1.5 Euler-Mascheroni constant, p. 31, 1.5.2 Integrals. %H A247017 G. C. Greubel, Table of n, a(n) for n = 0..5000 %F A247017 Equals -(1/4)*sqrt(Pi)*(EulerGamma + 2*log(2)). %e A247017 -0.87005772672831550673464879953608743750810733362594... %t A247017 RealDigits[-(1/4)*Sqrt[Pi]*( EulerGamma + 2*Log[2]), 10, 102] // First %t A247017 RealDigits[NIntegrate[Exp[-x^2]Log[x],{x,0,\[Infinity]},WorkingPrecision->120],10,120][[1]] (* _Harvey P. Dale_, Mar 29 2024 *) %o A247017 (PARI) -(1/4)*sqrt(Pi)*(Euler + 2*log(2)) \\ _Michel Marcus_, Sep 09 2014 %Y A247017 Cf. A020759. %K A247017 nonn,cons,easy %O A247017 0,1 %A A247017 _Jean-François Alcover_, Sep 09 2014 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE