A293440 First differences of A293230: how many more alive nodes there are in generation n+1 than in generation n in the binary tree of persistently squarefree numbers.

1, 1, 2, 2, 2, 3, 3, 4, 7, 9, 14, 17, 18, 30, 37, 53, 68, 82, 116, 149, 201, 289, 390, 510, 701, 921, 1241, 1682, 2277, 2990, 4054, 5489, 7247, 9778, 13222, 17684, 23849, 32146, 42930, 57828, 77679, 104443, 140343, 188387, 253322, 339990, 456855, 614187, 825548, 1108788, 1489668

Offset: 0

Author

Antti Karttunen, Oct 12 2017

Keywords

• nonn

Crossrefs

Cf. A293230, A293520, A293521, A293522, A293441.

Programs

Scheme

(define (A293440 n) (- (A293230 (+ 1 n)) (A293230 n)))

Formula

a(n) = A293230(1+n)-A293230(n).

a(n) = A293522(n) - A293520(n). [Equal to the number of bifurcating nodes minus the number of withering nodes.]