A380268 a(n) is the number of positive values minus the number of negative values in the set {A377091(k), k = 0..n}.

0, 1, 2, 1, 0, 1, 2, 3, 2, 1, 2, 3, 4, 3, 2, 1, 0, -1, -2, -3, -4, -3, -2, -1, 0, 1, 0, -1, -2, -3, -4, -5, -4, -3, -2, -1, 0, -1, -2, -3, -4, -5, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 3, 2, 1, 0, -1, -2, -3, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 7

Offset

0,3

Links

Rémy Sigrist, Table of n, a(n) for n = 0..10000

Rémy Sigrist, PARI program

Formula

a(n) = Sum_{k = 0..n} sign(A377091(k)).

Example

The initial terms are:
  n   a(n)  A377091(n)
  --  ----  ----------
   0     0           0
   1     1           1
   2     2           2
   3     1          -2
   4     0          -1
   5     1           3
   6     2           4
   7     3           5
   8     2          -4
   9     1          -3
  10     2           6
  11     3           7
  12     4           8
  13     3          -8
  14     2          -7
  15     1          -6

Prog

(PARI) \\ See Links section.

Crossrefs

Cf. A377091.

Sequence in context: A307672 A037834 A212496 * A379850 A348295 A362598

Adjacent sequences: A380265 A380266 A380267 * A380269 A380270 A380271

Keyword

sign

Author

Rémy Sigrist, Jan 18 2025

Status

approved