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 A296661 #11 Nov 24 2024 03:26:45 %S A296661 0,1,2,15,60,381,2286,16731,133848,1211193,12111930,133290279, %T A296661 1599483348,20793814965,291113409510,4366705925619,69867294809904, %U A296661 1187744054815089,21379392986671602,406208467134180927,8124169342683618540 %N A296661 a(n) = (exp(k)*Gamma(1+n, k) - exp(-k)*Gamma(1+n, -k))/k! for k = 3. %F A296661 a(n) = (A053486(n) - A010843(n+1))/6. [corrected by _Jason Yuen_, Nov 23 2024] %F A296661 D-finite with recurrence a(n) -n*a(n-1) -9*a(n-2) +9*(n-2)*a(n-3)=0. - _R. J. Mathar_, Sep 29 2020 %p A296661 A296661 := n -> (exp(3)*GAMMA(1+n,3) - exp(-3)*GAMMA(1+n,-3))/6: %p A296661 seq(simplify(A296661(n)), n=0..20); %Y A296661 Cf. A010843, A053486. %K A296661 nonn %O A296661 0,3 %A A296661 _Peter Luschny_, Dec 18 2017