1,3

C. J. Bouwkamp, personal communication.

D. A. Klarner, Some results concerning polyominoes, Fib. Quart., 3 (1965), 9-20.

J. R. Long and R. H. Holm, Enumeration and structural classification of clusters derived from parent solids ..., J. Amer. Chem. Soc., 116 (1984), 9987-10002.

W. F. Lunnon, Symmetry of cubical and general polyominoes, pp. 101-108 of R. C. Read, editor, Graph Theory and Computing. Academic Press, NY, 1972.

W. F. Lunnon, personal communication.

A. Clarke, Polyiamonds

A. Clarke, The 8 tetracubes.

M. Keller, Counting polyforms

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Kevin L. Gong, Polyominoes Home Page.

Table showing total number and numbers with each group order.

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The last 7 columns form sequences A066453, A066454, A066273, A066281, A066283, A066287, A066288.

.n ...A000162 ..group:.1.....2...3...4.6.8.24

.1 .........1..........0.....0...0...0.0.0..1

.2 .........1..........0.....0...0...0.0.1..0

.3 .........2..........0.....1...0...0.0.1..0

.4 .........8..........1.....4...1...0.0.2..0

.5 ........29.........17....10...0...0.0.2..0

.6 .......166........127....34...0...3.1.1..0

.7 ......1023........941....71...4...5.0.1..1

.8 ......6922.......6662...246...0..11.0.2..1

.9 .....48311......47771...522...3..11.0.4..0

10 ....346543.....344708..1783..24..24.2.2..0

11 ...2522522....2518713..3765...4..35.0.5..0

12 ..18598427...18585455.12858..18..84.5.7..0

13 .138462649..138434899.27496.151..92.2.8..1

14 1039496297.1039401564.94525..25.174.4.5..0

A038119 = (A007743+A000162)/2, A007743 = 2*A038119 - a(n), a(n) = 2*A038119 - A007743.

a(n) = A066453 + A066545 + A066273 + A066281 + A066283 + A066287 + A066288.

Cf. A038119, A007743, A066453.

Adjacent sequences: A000159 A000160 A000161 this_sequence A000163 A000164 A000165

Sequence in context: A100477 A011367 A009419 this_sequence A052437 A131318 A010749

nonn,nice,hard

njas and J. H. Conway (conway(AT)math.princeton.edu)

The old value for a(11), 2522572, was corrected by Achim Flammenkamp (achim(AT)uni-bielefeld.de) to 2522522, Feb 15 1999.

a(13) and a(14) from Brendan Owen (brendan_owen(AT)yahoo.com), Dec 27, 2001

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007