A303749 First differences of A302774; Number of terms in A303762 that have prime(n) as their largest prime factor (A006530).

1, 2, 4, 7, 16, 19, 52, 55, 160, 163, 484, 487, 1456, 1459, 4372, 4375, 13120, 13123, 39364, 39367, 118096, 118099, 354292, 354295

Offset: 1

Author

Antti Karttunen, May 05 2018

Keywords

• nonn

Comments

For n >= 1, the difference A000079(n-1) - a(n): 0, 0, 0, 1, 0, 13, 12, 73, 96, 349, 540, 1561, 2640, 6733, 12012, 28393, 52416, 117949, 222780, 484921, 930480, 1979053, 3840012, ..., indicates how many squarefree numbers A303762 misses in each round. The first of these is 70 missed at the round 4.

The first differences of these terms is: 1, 2, 3, 9, 3, 33, 3, 105, 3, 321, 3, 969, 3, 2913, 3, 8745, 3, 26241, 3, 78729, 3, 236193, 3, ... which after the first two initial terms seem to be an interleaving of sequences A010701 and A036543.

Crossrefs

Cf. A010701, A036543, A302774, A303762.

Formula

a(n) = A302774(n+1) - A302774(n).