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A226892 Number of squares of size n^2 in all tilings of an (n+2) X (n+2) square using integer-sided square tiles. 2
0, 29, 69, 153, 373, 917, 2321, 5933, 15317, 39737, 103461, 269925, 705169, 1843709, 4822949, 12620249, 33029909, 86456693, 226319505, 592468365, 1551031477, 4060538489, 10630442309, 27830559173, 72860864273, 190751433437, 499392464901, 1307424389913 (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.: (17*x^5 - 29*x^4 - 73*x^3 + 65*x^2 + 47*x - 29)*x / (-x^6 + 2*x^5 + 4*x^4 - 6*x^3 - 2*x^2 + 4*x - 1).

EXAMPLE

a(1) = 29:

._._._.  ._._._.  ._._._.  ._._._.  ._._._.  ._._._.

|     |  |   |_|  |_|_|_|  |_|   |  |_|_|_|  |_|_|_|

|     |  |___|_|  |   |_|  |_|___|  |_|   |  |_|_|_|

|_____|  |_|_|_|  |___|_|  |_|_|_|  |_|___|  |_|_|_|.

CROSSREFS

A diagonal of A226936.

Sequence in context: A163426 A344043 A165945 * A183194 A123372 A031343

Adjacent sequences:  A226889 A226890 A226891 * A226893 A226894 A226895

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 22 2013

STATUS

approved

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Last modified October 23 23:05 EDT 2021. Contains 348217 sequences. (Running on oeis4.)