A277606 Frequency of n in A245499.

1, 1, 2, 1, 1, 3, 1, 5, 1, 3, 1, 4, 1, 2, 5, 1, 1, 7, 1, 4, 2, 2, 1, 5, 1, 2, 5, 3, 1, 3, 1, 9, 2, 2, 5, 1, 1, 2, 2, 5, 1, 4, 1, 2, 4, 2, 1, 6, 1, 8, 2, 3, 1, 5, 2, 5, 2, 2, 1, 6, 1, 2, 7, 1, 3, 4, 1, 2, 2, 5, 1, 13, 1, 2, 10, 2, 6, 2, 1, 7, 1, 2

Offset

1,3

Comments

From David A. Corneth, Jan 02 2018: (Start)

For every positive integer n, we can create a tuple b of t increasing positive integers with b_1 = n, the product of these elements a perfect square and the largest element as small as possible.

A006255 lists b_t, the largest element of these tuples, A245499 lists these tuples and this sequence lists the frequency of n occurring in such a tuple, i.e., the frequency of n in A245499. (End)

Records occur for n = 1, 3, 6, 8, 18, 32, 72, 200, ... where a(n) is 1, 2, 3, 5, 7, 9, 13, 19, ... respectively.

Links

David A. Corneth, Table of n, a(n) for n = 1..10000

Example

8 occurs in rows 3, 5, 6, 7 and 8 being respectively [3, 6, 8], [5, 8, 10], [6, 8, 12], [7, 8, 14] and [8, 10, 12, 15]. These are 5 rows so a(8) = 5.

Crossrefs

Cf. A006255, A092487, A245499.

Sequence in context: A248008 A327981 A348447 * A228267 A170820 A339615

Adjacent sequences: A277603 A277604 A277605 * A277607 A277608 A277609

Keyword

nonn

Author

David A. Corneth, Oct 23 2016

Status

approved