A059679 Triangle T(n,k) giving number of fixed 3 X k polyominoes with n cells (n >= 3, 1<=k<=n-2).
1, 0, 8, 0, 6, 25, 0, 1, 44, 50, 0, 0, 32, 154, 83, 0, 0, 9, 212, 376, 124, 0, 0, 1, 158, 784, 750, 173, 0, 0, 0, 62, 987, 2133, 1316, 230, 0, 0, 0, 12, 778, 3802, 4803, 2114, 295, 0, 0, 0, 1, 370, 4622, 11127, 9490, 3184, 368
Offset: 3
Examples
Triangle starts: 1; 0, 8; 0, 6, 25; 0, 1, 44, 50; 0, 0, 32, 154, 83; 0, 0, 9, 212, 376, 124; 0, 0, 1, 158, 784, 750, 173; 0, 0, 0, 62, 987, 2133, 1316, 230; ...
Links
- Andrew Howroyd, Table of n, a(n) for n = 3..1277
- R. C. Read, Contributions to the cell growth problem, Canad. J. Math., 14 (1962), 1-20.
Formula
T(n,k) = 0 for n > 3*k. - Andrew Howroyd, Oct 02 2017
Extensions
a(8) corrected and terms a(39) and beyond from Andrew Howroyd, Oct 02 2017