1,1

Shiva Samieinia, Digital straight line segments and curves. Licentiate Thesis. Stockholm University, Department of Mathematics, Report 2007:6.

a(2k) = a(2k-1) + a(2k-2) + a(2k-3) and a(2k-1) = a(2k-2) + 2a(2k-3).

The asymptotic behavior is a(2k) = t(2k) sqrt(3)(2 + sqrt(3))^k, a(2k-1) = t(2k-1)(2 + sqrt(3))^k where t(n) tends to 1/2 + sqrt(3)/6.

Cf. A001045, A000213, A131935.

Adjacent sequences: A131884 A131885 A131886 this_sequence A131888 A131889 A131890

Sequence in context: A078722 A089098 A129384 this_sequence A045691 A045961 A117272

nonn

Shiva Samieinia (shiva(AT)math.su.se), Oct 05 2007, Oct 09 2007