we're (were) counting rotation, reflection as Separate Animals.
so our seq. went:
1, 2, 6, 19, ..............
---------- is this seq. not in oeis ?
(we say 19, the following list says 5)
https://oeis.org/A00010539153010938487, 153511100594603
A000105 Number of free polyominoes (or square animals) with n cells.
(Formerly M1425 N0561)
1, 1, 1, 2, 5, 12, 35, 108, 369, 1285, 4655, 17073, 63600, 238591, 901971, 3426576, 13079255, 50107909, 192622052, 742624232, 2870671950, 11123060678, 43191857688, 168047007728, 654999700403, 2557227044764, 9999088822075,
( starts with 0-cell animal )
On 10/29/2022 6:54 PM, henh...@gmail.com wrote:
we're (were) counting rotation, reflection as Separate Animals.
so our seq. went:
1, 2, 6, 19, ..............
---------- is this seq. not in oeis ?
(we say 19, the following list says 5)
153511100594603https://oeis.org/A000105
A000105 Number of free polyominoes (or square animals) with n cells. (Formerly M1425 N0561)
1, 1, 1, 2, 5, 12, 35, 108, 369, 1285, 4655, 17073, 63600, 238591, 901971, 3426576, 13079255, 50107909, 192622052, 742624232, 2870671950, 11123060678, 43191857688, 168047007728, 654999700403, 2557227044764, 9999088822075, 39153010938487,
( starts with 0-cell animal )
https://oeis.org/A001168
A001168 Number of fixed polyominoes with n cells.
(Formerly M1639 N0641) 52
1, 1, 2, 6, 19, 63, 216, 760, 2725, 9910, 36446, 135268, 505861,
1903890, 7204874, 27394666, 104592937, 400795844, 1540820542,
5940738676, 22964779660, 88983512783, 345532572678, 1344372335524, 5239988770268, 20457802016011, 79992676367108, 313224032098244, 1228088671826973
On Saturday, October 29, 2022 at 8:23:59 PM UTC-7, Edward Murphy wrote:
On 10/29/2022 6:54 PM, henh...@gmail.com wrote:
we're (were) counting rotation, reflection as Separate Animals.
so our seq. went:
1, 2, 6, 19, ..............
---------- is this seq. not in oeis ?
(we say 19, the following list says 5)
153511100594603https://oeis.org/A000105
A000105 Number of free polyominoes (or square animals) with n cells. (Formerly M1425 N0561)
1, 1, 1, 2, 5, 12, 35, 108, 369, 1285, 4655, 17073, 63600, 238591, 901971, 3426576, 13079255, 50107909, 192622052, 742624232, 2870671950, 11123060678, 43191857688, 168047007728, 654999700403, 2557227044764, 9999088822075, 39153010938487,
( starts with 0-cell animal )
https://oeis.org/A001168
A001168 Number of fixed polyominoes with n cells.thank you... i think there are 2 more variations (in between)
(Formerly M1639 N0641) 52
1, 1, 2, 6, 19, 63, 216, 760, 2725, 9910, 36446, 135268, 505861,
1903890, 7204874, 27394666, 104592937, 400795844, 1540820542,
5940738676, 22964779660, 88983512783, 345532572678, 1344372335524, 5239988770268, 20457802016011, 79992676367108, 313224032098244, 1228088671826973
--- allows rotation only
--- allows reflection only
M.Gardner's [The Colossal Book of Math.] has some stuff on Pentominoes (3-D)
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