This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A157290 #22 Jul 01 2024 19:21:30 %S A157290 1,0,7,7,9,2,8,1,3,6,7,4,1,8,5,5,1,9,4,8,6,1,0,4,2,2,4,3,0,4,7,4,6,2, %T A157290 8,8,4,8,9,1,9,1,9,1,9,4,6,3,2,0,1,7,5,8,5,4,0,7,6,4,3,7,2,4,5,5,7,2, %U A157290 3,4,5,8,0,9,3,2,9,5,1,6,2,6,1,5,2,6,0,0,1,0,2,6,0,0,5,5,0,1,5,0,9,0,8,4,8 %N A157290 Decimal expansion of 105/Pi^4. %C A157290 The Product_{p = primes = A000040} (1+1/p^4), the quartic analog to A082020. %D A157290 Calvin C. Clawson, Mathematical Mysteries: The Beauty and Magic of Numbers, Springer, 2013. See p. 230. %H A157290 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a> %F A157290 Equals A013662/A013666 = Product_{i>=1} (1+1/A030514(i)). %F A157290 Equals Sum_{k>=1} 1/A005117(k)^4 = 1 + Sum_{k>=1} 1/A113849(k). - _Amiram Eldar_, May 22 2020 %F A157290 Equals 1/A347329. - _Hugo Pfoertner_, Jul 01 2024 %e A157290 1.077928136741855194... = (1+1/2^4)*(1+1/3^4)*(1+1/5^4)*(1+1/7^4)*... %p A157290 evalf(105/Pi^4) ; %t A157290 RealDigits[105/\[Pi]^4,10,150][[1]] (* _Harvey P. Dale_, Mar 20 2011 *) %o A157290 (PARI) 105/Pi^4 \\ _Charles R Greathouse IV_, Sep 30 2022 %Y A157290 Cf. A005117, A013662, A013666, A030514, A082020, A113849, A347329. %K A157290 cons,easy,nonn %O A157290 1,3 %A A157290 _R. J. Mathar_, Feb 26 2009