A226548 Number of squares in all tilings of a 5 X n rectangle using integer-sided square tiles.

0, 5, 50, 256, 1402, 6940, 33502, 157279, 725080, 3293575, 14789640, 65785991, 290341336, 1272947979, 5549535668, 24075671345, 104002776564, 447586575256, 1919810662952, 8210002538205, 35015688030978, 148980204943747, 632466650426456, 2679623444793841

Offset: 0

Author

Alois P. Heinz, Jun 10 2013

Keywords

• nonn
• easy

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..1000

Crossrefs

Column k=5 of A226545.

Cf. A054857.

Formula

G.f.: (x^10 +12*x^9 +28*x^8 +54*x^7 +33*x^6 +18*x^5 -53*x^4 -42*x^3 +6*x^2 +30*x+5)*x / (x^8 +3*x^7 +2*x^6 +5*x^5 +x^4 -6*x^3 -7*x^2 -2*x+1)^2.