A292602 a(n) = floor(A005940(1+n)/4).

0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 3, 3, 6, 4, 6, 4, 2, 3, 5, 5, 8, 7, 11, 6, 12, 12, 18, 9, 31, 13, 20, 8, 3, 5, 8, 7, 13, 10, 15, 10, 19, 17, 26, 15, 43, 22, 33, 12, 30, 24, 36, 25, 61, 37, 56, 18, 85, 62, 93, 27, 156, 40, 60, 16, 4, 6, 9, 11, 16, 16, 24, 14, 22, 27, 41, 21, 68, 31, 47, 20, 35, 38, 57, 35, 96, 52, 78

Offset

0,7

Links

Antti Karttunen, Table of n, a(n) for n = 0..16383

Index entries for sequences computed from indices in prime factorization

Formula

a(n) = A002265(A005940(1+n)).

4*a(n) + A292603(n) = A005940(1+n).

Example

The first six levels of the binary tree (compare also to the illustrations given at A005940 and A292603):
                                      0
                                      |
                   ...................0...................
                  0                                       1
        1......../ \........1                   2......../ \........2
       / \                 / \                 / \                 / \
      /   \               /   \               /   \               /   \
     /     \             /     \             /     \             /     \
    1       2           3       3           6       4           6       4
   2 3     5 5         8 7    11 6        12 12   18 9        31 13   20 8

Prog

(Scheme) (define (A292602 n) (let* ((x (A005940 (+ 1 n))) (d (modulo x 4))) (/ (- x d) 4)))

Crossrefs

Cf. A002265, A003961, A005940, A292603, A295895.

Sequence in context: A022871 A127218 A293520 * A071444 A232441 A328701

Adjacent sequences: A292599 A292600 A292601 * A292603 A292604 A292605

Keyword

nonn

Author

Antti Karttunen, Dec 01 2017

Status

approved