Triangle of 4 - restricted Eulerian numbers as polynomials used in exponential data smoothing: m(p,k,x)=((-1)^k*(1 - x)^(p + k)/(k!(p - 1)!))*Sum[(p - 1 + j)!*j^k*x^j/(j!), {j, 0, Infinity}]/x;n=6; t(m,l)=coefficients((-1)^m*m!*M[n, m, x])/n.
A152249
Triangle of 4 - restricted Eulerian numbers as polynomials used in exponential data smoothing: m(p,k,x)=((-1)^k*(1 - x)^(p + k)/(k!(p - 1)!))*Sum[(p - 1 + j)!*j^k*x^j/(j!), {j, 0, Infinity}]/x;n=6; t(m,l)=coefficients((-1)^m*m!*M[n, m, x])/n.
Terms
- a(0) =1a(1) =1a(2) =6a(3) =1a(4) =19a(5) =36a(6) =1a(7) =46a(8) =241a(9) =216a(10) =1a(11) =101a(12) =1091a(13) =2551a(14) =1296a(15) =1a(16) =212a(17) =4182a(18) =18932a(19) =24337a(20) =7776a(21) =1a(22) =435a(23) =14666a(24) =113366a(25) =273141a(26) =217015a(27) =46656a(28) =1a(29) =882
External references
- oeis: A152249