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

3,3

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

Example

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;
...

Crossrefs

Column sums are A034184.

Cf. A059678, A059680, A059681, A059683.

Sequence in context: A073235 A222883 A091474 * A198559 A292887 A154461

Adjacent sequences: A059676 A059677 A059678 * A059680 A059681 A059682

Keyword

nonn,easy,nice,tabl

Author

N. J. A. Sloane, Feb 05 2001

Extensions

a(8) corrected and terms a(39) and beyond from Andrew Howroyd, Oct 02 2017

Status

approved