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 A001757 M1941 N0769 #29 Feb 01 2022 01:20:06 %S A001757 1,1,2,9,54,450,4500,55125,771750,12502350,225042300,4538353050, %T A001757 99843767100,2410513805700,62673358948200,1762688220418125, %U A001757 52880646612543750,1698056319002793750,57733914846094987500,2084194325944029048750 %N A001757 Expansion of an integral: central elements of rows of triangle in A059366. %C A001757 For information about the trigonometric integral whose expansion involves the triangle A059366, see my comments and examples there. - _Petros Hadjicostas_, May 13 2020 %D A001757 L. Comtet, Advanced Combinatorics, Reidel, 1974, pp. 166-167. %D A001757 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). %D A001757 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %F A001757 a(n) = A000984(floor(n/2))*A000984(ceiling(n/2))*A000142(n)/A000079(n). [Corrected by _Petros Hadjicostas_, May 13 2020] %F A001757 From _Petros Hadjicostas_, May 13 2020: (Start) %F A001757 a(n) = A059366(n, floor(n/2)) = A059366(n, ceiling(n/2)). %F A001757 a(2*n) = A283678(n). (End) %Y A001757 Cf. A000079, A000142, A000984, A059366, A283678. %K A001757 nonn,easy %O A001757 0,3 %A A001757 _N. J. A. Sloane_ %E A001757 More terms from Larry Reeves (larryr(AT)acm.org), Feb 08 2001 %E A001757 Corrected and extended by _Sean A. Irvine_, Nov 19 2012 %E A001757 a(0) = 1 prepended by _Petros Hadjicostas_, May 13 2020