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A226548 Number of squares in all tilings of a 5 X n rectangle using integer sided square tiles. 3
0, 5, 50, 256, 1402, 6940, 33502, 157279, 725080, 3293575, 14789640, 65785991, 290341336, 1272947979, 5549535668, 24075671345, 104002776564, 447586575256, 1919810662952, 8210002538205, 35015688030978, 148980204943747, 632466650426456, 2679623444793841 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

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.

CROSSREFS

Column k=5 of A226545.

Cf. A054857.

Sequence in context: A238650 A281606 A061160 * A274064 A302695 A064054

Adjacent sequences:  A226545 A226546 A226547 * A226549 A226550 A226551

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Jun 10 2013

STATUS

approved

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Last modified July 24 05:05 EDT 2021. Contains 346273 sequences. (Running on oeis4.)