OFFSET

1,4

COMMENTS

"Equivalence" refers to the cyclic group. Turning over is not allowed.

The original definition referred to slices of pie with slices of size 1/i, which add to a full pie.

FORMULA

a(p) = 1 for all primes.

EXAMPLE

a(6) = 12 because a pie can be made in the following twelve ways (moving clockwise from a 1/6):

1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6,

1 = 1/6 + 1/6 + 1/6 + 1/4 + 1/4,

1 = 1/6 + 1/6 + 1/4 + 1/6 + 1/4,

1 = 1/6 + 1/4 + 1/4 + 1/3,

1 = 1/6 + 1/4 + 1/3 + 1/4,

1 = 1/6 + 1/3 + 1/4 + 1/4,

1 = 1/6 + 1/6 + 1/6 + 1/2,

1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/3,

1 = 1/6 + 1/6 + 1/3 + 1/3,

1 = 1/6 + 1/3 + 1/6 + 1/3,

1 = 1/6 + 1/3 + 1/2,

1 = 1/6 + 1/2 + 1/3.

Notice that the bottom two pies are chiral copies of one another.

CROSSREFS

KEYWORD

nonn,more

AUTHOR

Gordon Hamilton, Jul 02 2015

EXTENSIONS

a(6) corrected, a(8) confirmed, a(9)-a(17) added by Alois P. Heinz, Jul 28 2015

a(18)-a(23) from Alois P. Heinz, Jul 30 2015

a(24)-a(26) from Alois P. Heinz, Sep 01 2015

STATUS

approved