The first entry of the vector v[n]=Mv[n-1], where M is the 6 X 6 matrix [[0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [1, 5, 10, 10, 5, 1]] and v[0] is the column vector [0, 1, 1, 2, 3, 5].
A114725
The first entry of the vector v[n]=Mv[n-1], where M is the 6 X 6 matrix [[0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [1, 5, 10, 10, 5, 1]] and v[0] is the column vector [0, 1, 1, 2, 3, 5].
Terms
- a(0) =0a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =55a(7) =136a(8) =502a(9) =1799a(10) =6247a(11) =21902a(12) =76882a(13) =269498a(14) =944895a(15) =3313259a(16) =11617291a(17) =40733828a(18) =142826195a(19) =500794808a(20) =1755948163a(21) =6156922147a(22) =21588159423a(23) =75695064671a(24) =265411365121a(25) =930618039799
External references
- oeis: A114725