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 A177809 #10 Jun 02 2025 02:56:30 %S A177809 1,1,1,1,252,1,1,3003,3003,1,1,15504,184756,15504,1,1,53130,3268760, %T A177809 3268760,53130,1,1,142506,30045015,155117520,30045015,142506,1,1, %U A177809 324632,183579396,3247943160,3247943160,183579396,324632,1,1,658008,847660528,40225345056 %N A177809 Symmetrical sequence:Binomial(n,5*m). %C A177809 Row sums are A070782. %C A177809 5th in the sequence of sequence Binomial(n,k*m),k=1,2,3,4,5,... %e A177809 {1}, %e A177809 {1, 1}, %e A177809 {1, 252, 1}, %e A177809 {1, 3003, 3003, 1}, %e A177809 {1, 15504, 184756, 15504, 1}, %e A177809 {1, 53130, 3268760, 3268760, 53130, 1}, %e A177809 {1, 142506, 30045015, 155117520, 30045015, 142506, 1}, %e A177809 {1, 324632, 183579396, 3247943160, 3247943160, 183579396, 324632, 1}, %e A177809 {1, 658008, 847660528, 40225345056, 137846528820, 40225345056, 847660528, 658008, 1}, %e A177809 {1, 1221759, 3190187286, 344867425584, 3169870830126, 3169870830126, 344867425584, 3190187286, 1221759, 1}, %e A177809 {1, 2118760, 10272278170, 2250829575120, 47129212243960, 126410606437752, 47129212243960, 2250829575120, 10272278170, 2118760, 1} %t A177809 t[n_, m_] = Binomial[n, 5*m]; %t A177809 Table[Table[t[n, m], {m, 0, Floor[n/5]}], {n, 0, 50, 5}]; %t A177809 Flatten[%] %Y A177809 Cf. A086645, A034839, A070775, A177808, A139459, A070782. %K A177809 nonn,tabl %O A177809 0,5 %A A177809 _Roger L. Bagula_, Dec 13 2010