Symmetrical Hahn weights on q-form factorials:m=3;q=4; q-form:t(n,m)=If[m == 0, n!, Product[Sum[(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; Hahn weight:b(n,k,m)=If[n == 0, 1, (n!*t[m + 1, k]*t[m + 1, n - k])/(k!*(n - k)!*t[1, n])].
A157322
Symmetrical Hahn weights on q-form factorials:m=3;q=4; q-form:t(n,m)=If[m == 0, n!, Product[Sum[(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; Hahn weight:b(n,k,m)=If[n == 0, 1, (n!*t[m + 1, k]*t[m + 1, n - k])/(k!*(n - k)!*t[1, n])].
Terms
- a(0) =1a(1) =7560a(2) =7560a(3) =49920a(4) =198450a(5) =49920a(6) =214200a(7) =1965600a(8) =1965600a(9) =214200a(10) =696384a(11) =11245500a(12) =25958400a(13) =11245500a(14) =696384a(15) =1871016a(16) =45700200a(17) =185640000a(18) =185640000a(19) =45700200a(20) =1871016a(21) =4377600a(22) =147342510a(23) =905299200a(24) =1593112500a(25) =905299200
External references
- oeis: A157322