A221843 Number of partitions of n^2 into squares providing prime dissections of an n X n square into integer-sided squares.

1, 1, 2, 5, 10, 27, 56, 141, 309, 742, 1558, 3808

Offset

1,3

Comments

In a prime dissection the GCD of the square sides is one.

Links

Table of n, a(n) for n=1..12.

Example

For n = 4 the a(4) = 5 sets of squares which provide prime dissections of a 4 X 4 square are {1(3 X 3), 7(1 X 1)}, {3(2 X 2), 4(1 X 1)}, {2(2 X 2), 8(1 X 1)}, {1(2 X 2), 12(1 X 1)} and {16(1 X 1)}.

Crossrefs

Cf. A034295, A037444, A221844.

Sequence in context: A079572 A053391 A183956 * A368834 A032099 A243797

Adjacent sequences: A221840 A221841 A221842 * A221844 A221845 A221846

Keyword

nonn,more

Author

Geoffrey H. Morley, Jan 26 2013

Extensions

a(7) corrected and a(9)-a(12) from Alois P. Heinz, Apr 15 2013

Status

approved