A247736 Total number of I shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

0, 1, 2, 11, 122, 2278, 17502, 140037, 1250890, 11184764, 96901618, 810143038, 6787465080, 56871594099, 473417649550, 3913478050583, 32192184170708, 264014564271675, 2158561440821352, 17592866753339355, 142983916007396542, 1159269824603687631, 9378694043134778568

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..500

Wikipedia, Pentomino

Formula

a(n) = Sum_{k>0} k * A247703(n,k).

Crossrefs

Cf. A174249, A233427, A247703.

Sequence in context: A118794 A222879 A354978 * A155928 A001946 A121337

Adjacent sequences: A247733 A247734 A247735 * A247737 A247738 A247739

Keyword

nonn

Author

Alois P. Heinz, Sep 23 2014

Status

approved