A152303 a(n) = b(n) mod 10, where b(n) = b(n-1) + b(n-2) + floor(b(n-2)/10), b(0) = b(1) = 1.

1, 1, 2, 3, 5, 8, 3, 1, 5, 8, 6, 9, 4, 8, 8, 9, 9, 8, 7, 8, 9, 8, 8, 1, 9, 1, 4, 4, 0, 7, 0, 6, 2, 6, 0, 8, 4, 4, 1, 9, 9, 8, 9, 3, 0, 6, 8, 0, 6, 4, 6, 5, 2, 4, 9, 3, 3, 0, 0, 9, 6, 6, 5, 9, 6, 5, 4, 3, 7, 1, 6, 3, 3, 0, 0, 2, 4, 4, 4, 3, 7, 7, 4, 7, 0, 4, 5, 9, 0, 0, 2, 1, 0, 7, 0, 5, 6, 9, 5, 1, 4

Offset: 0

Author

Roger L. Bagula, Dec 02 2008

Keywords

• nonn

Crossrefs

Cf. A152302, A152305.

Programs

Mathematica

M = {{0, 1}, {1, 1}}; M1 = {{0, 0}, {1/10, 0}};
v[0] = {1, 1};
v[n_] := v[n] = M.v[n - 1] + Floor[M1.v[n - 1]];
Table[Mod[v[n][[1]], 10], {n, 0, 100}]

Extensions

Meaningful name from Dominic McCarty, Jul 01 2025