A254458 Number of tilings of a 6 X n rectangle using polyominoes of shape I.

1, 32, 2293, 217969, 22734496, 2441987149, 264719566561, 28778500622048, 3131382012183077, 340819280011906449, 37097936406550231392, 4038192819517826461181, 439569960022854881087873, 47848695174956866013911072, 5208498569279829885262307157

Offset: 0

Author

Alois P. Heinz, Jan 30 2015

Keywords

• nonn

Comments

A polyomino of shape I is a rectangle of width 1.

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..200
• Wikipedia, Polyomino

Crossrefs

Column k=6 of A254414.

Formula

G.f.: (1 - 153*x + 6777*x^2 - 132415*x^3 + 1336362*x^4 - 7606262*x^5 + 25527903*x^6 - 51325185*x^7 + 61507605*x^8 - 42648785*x^9 + 16029360*x^10 - 2890728*x^11 + 181440*x^12)/(1 - 185*x + 10404*x^2 - 259107*x^3 + 3361183*x^4 - 24886632*x^5 + 110360811*x^6 - 299572675*x^7 + 499926324*x^8 - 508443601*x^9 + 305734685*x^10 - 101727600*x^11 + 16409736*x^12 - 907200*x^13). - Andrew Howroyd, Dec 23 2019