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 A341900 #18 Dec 22 2024 21:32:30 %S A341900 0,1,2,7,26,127,746,5167,41066,368047,3669866,40284847,482671466, %T A341900 6267305647,87660962666,1313941673647,21010450850666,357001369769647, %U A341900 6423384156578666,122002101778601647,2439325392333218666,51212944273488041647,1126440053169940898666 %N A341900 Partial sums of A005165. %F A341900 a(n)-a(n-1) = A005165(n). %F A341900 a(n) = Sum_{i=0..floor((n-1)/2)} (n-2*i)!. %F A341900 a(n) = A136580(n) - A059841(n). %F A341900 D-finite with recurrence a(n) -n*a(n-1) -a(n-2) +n*a(n-3)=0. %F A341900 a(n) = n! + a(n-2) for n >= 2. - _Alois P. Heinz_, Jun 04 2021 %Y A341900 Cf. A000142, A005165, A136580, A215096. %K A341900 nonn,easy %O A341900 0,3 %A A341900 _R. J. Mathar_, Jun 04 2021