A056646 Square root of largest unitary square divisor of central binomial coefficient.

1, 1, 1, 1, 1, 2, 1, 1, 3, 6, 1, 2, 2, 1, 3, 3, 1, 2, 1, 2, 2, 1, 1, 2, 10, 5, 10, 5, 3, 12, 3, 3, 1, 2, 5, 10, 10, 5, 3, 6, 2, 1, 2, 1, 5, 20, 15, 30, 42, 21, 14, 7, 7, 28, 2, 1, 1, 4, 1, 4, 4, 2, 21, 21, 7, 14, 7, 14, 6, 3, 1, 2, 2, 1, 10, 5, 35, 140, 7, 14, 126, 63, 2, 1, 5, 20, 90, 45, 3, 12

Offset

1,6

Links

Table of n, a(n) for n=1..90.

Formula

a(n) = A000188(A001405(n))/A055229(A001405(n)) = A056056(n)/A056059(n).

Example

n=28: binomial(28,14) = 2*2*2*3*3*3*5*5*17*19*23. The square root of its largest square divisor is 30, while the largest unitary analog is a(28) = 30/6 = 5.

Crossrefs

Cf. A000188, A001405, A055229, A056056, A056059.

Sequence in context: A156953 A293785 A156881 * A056056 A136462 A320574

Adjacent sequences: A056643 A056644 A056645 * A056647 A056648 A056649

Keyword

nonn

Author

Labos Elemer, Aug 09 2000

Status

approved