a(n) is the floor of the first component of M^n * (0, 1, 2, 3) where M is the matrix [[c, 1/2, 1/2, 1/2], [1/2, c, 1/2, 1/2], [1/2, 1/2, c, 1/2], [1/2, 1/2, 1/2, c]] and c=sqrt(3)/2.
A121811
a(n) is the floor of the first component of M^n * (0, 1, 2, 3) where M is the matrix [[c, 1/2, 1/2, 1/2], [1/2, c, 1/2, 1/2], [1/2, 1/2, c, 1/2], [1/2, 1/2, 1/2, c]] and c=sqrt(3)/2.
Terms
- a(0) =0a(1) =3a(2) =8a(3) =19a(4) =46a(5) =111a(6) =263a(7) =622a(8) =1473a(9) =3485a(10) =8246a(11) =19512a(12) =46166a(13) =109230a(14) =258441a(15) =611480a(16) =1446777a(17) =3423112a(18) =8099170a(19) =19162842a(20) =45339771a(21) =107275050a(22) =253815495a(23) =600533909a(24) =1420878484a(25) =3361834590a(26) =7954186044a(27) =18819806248a(28) =44528139677a(29) =105354709660
External references
- oeis: A121811