1,1

Start with decimal expansion of pi: s0=3,1,4,1,5,9,2,6,5,3,5,8,9,7,9,3,2,3,8,4,6,2,6,4,3,3,8,3,2,7,9,5,0,2,8,8,4,1,9,7,1,6,9,3,9,9,3,7,5,1,0,5,8,2,0,9,7,4,9,4,4,5,... Divide s0 to the sections with the same final digits: s={3,1,4,1,5,9,2,6,5,3}, {5,8,9,7,9,3,2,3,8,4,6,2,6,4,3,3,8,3,2,7,9,5}, {0,2,8,8,4,1,9,7,1,6,9,3,9,9,3,7,5,1,0}, {5,8,2,0,9,7,4,9,4,4,5},... Then A104865(n) = length of s(n): 10,22,19,11,... A104866(n) = initial/final digits of s(n): 3,5,0,5,... A104867 gives records in A104865.

pi = RealDigits[Pi, 10, 250000][[1]]; lst = {}; f := Block[{k = Position[pi, pi[[1]]][[2, 1]]}, pi = Drop[pi, k]; k]; Do[lst = {lst, f}, {n, 22500}]; lst = Flatten[lst]; lsu = {}; a = 0; Do[ If[lst[[n]] > a, a = lst[[n]]; AppendTo[lsu, a]], {n, 22500}]; lsu (from Robert G. Wilson v Mar 29 2005)

Cf. A104865, A104866, A104868, A104869, A104870, A104871.

Sequence in context: A028569 A014367 A063710 this_sequence A079861 A014008 A039315

Adjacent sequences: A104864 A104865 A104866 this_sequence A104868 A104869 A104870

nonn

Zak Seidov (zakseidov(AT)yahoo.com), Mar 29 2005

a(7), a(8), a(9) & a(10) from Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 29 2005