A057753 Total area of all polyominoes with perimeter 2n.

1, 2, 10, 27, 150, 641, 3796, 21525, 134863, 846159, 5464173, 35548106, 234007149, 1551388944, 10361158723

Offset: 2

Author

N. J. A. Sloane, Nov 04 2000

Keywords

• nonn
• more

Examples

			a(2*n=4) = 1 with area 1: 1*1=1.
a(2*n=6) is 1 with area 2: 1*2=2.
a(2*n=8) is 2 with area 3, 1 with area 4: 2*3+4=10.
a(2*n=10) is 4 with area 4, 1 with area 5, 1 with area 6: 4*4+5+6=27.
a(2*n=12) = 11*5 +7*6 +4*7 +2*8 +1*9 = 150.
a(2*n=14) = 27*6 +21*7 +21*8+ 9*9 + 6*10 +1*11 + 1*12 = 641. - _R. J. Mathar_, Feb 18 2021
a(2*n=16) = 7*83 + 8*91 + 9*89 + 10*67 + 11*45 + 12*23 + 13*11 + 14*4 + 15*2 + 16*1. - _John Mason_, Feb 18 2021
		

Links

• Andrew Clarke, Isoperimetrical Polyominoes
• Andrew Clarke, Picture from Andrew Clarke's page showing the polyominoes of perimeters 4, 6, 8 and 10.

Crossrefs

Cf. A057730.

Extensions

Link updated by William Rex Marshall, Dec 16 2009

Offset set to 2 by R. J. Mathar, Feb 18 2021

a(8) from John Mason, Feb 18 2021

a(9)-a(16) from John Mason, Sep 08 2022