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

0,3

Links

Table of n, a(n) for n=0..50.

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.]

Prog

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

Crossrefs

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

Sequence in context: A275247 A369764 A369987 * A237121 A329493 A139821

Adjacent sequences: A293437 A293438 A293439 * A293441 A293442 A293443

Keyword

nonn

Author

Antti Karttunen, Oct 12 2017

Status

approved