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A254414 Number A(n,k) of tilings of a k X n rectangle using polyominoes of shape I; square array A(n,k), n>=0, k>=0, read by antidiagonals. 7
1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 7, 4, 1, 1, 8, 29, 29, 8, 1, 1, 16, 124, 257, 124, 16, 1, 1, 32, 533, 2408, 2408, 533, 32, 1, 1, 64, 2293, 22873, 50128, 22873, 2293, 64, 1, 1, 128, 9866, 217969, 1064576, 1064576, 217969, 9866, 128, 1, 1, 256, 42451, 2078716, 22734496, 50796983, 22734496, 2078716, 42451, 256, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

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

LINKS

Table of n, a(n) for n=0..65.

Wikipedia, Polyomino

EXAMPLE

Square array A(n,k) begins:

  1,  1,    1,      1,        1,          1,            1, ...

  1,  1,    2,      4,        8,         16,           32, ...

  1,  2,    7,     29,      124,        533,         2293, ...

  1,  4,   29,    257,     2408,      22873,       217969, ...

  1,  8,  124,   2408,    50128,    1064576,     22734496, ...

  1, 16,  533,  22873,  1064576,   50796983,   2441987149, ...

  1, 32, 2293, 217969, 22734496, 2441987149, 264719566561, ...

CROSSREFS

Columns (or rows) k=0-7 give: A000012, A011782, A052961, A254124, A254125, A254126, A254458, A254607.

Main diagonal gives: A254127.

Sequence in context: A322190 A177254 A132311 * A199802 A297347 A121697

Adjacent sequences:  A254411 A254412 A254413 * A254415 A254416 A254417

KEYWORD

nonn,tabl

AUTHOR

Alois P. Heinz, Jan 30 2015

STATUS

approved

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Last modified November 15 01:25 EST 2019. Contains 329143 sequences. (Running on oeis4.)