A380250 a(n) is the maximum value of A377091(k) with k in 0..n.

0, 1, 2, 2, 2, 3, 4, 5, 5, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 25, 25, 25, 25, 25, 25, 26, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 32, 32, 32, 32, 33, 34, 35, 36, 37

Offset

0,3

Links

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

Rémy Sigrist, PARI program

Formula

a(n) = max({A377091(k), k = 0..n}).

Example

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

Mathematica

(* A377091list is defined at A377091 *)
FoldList[Max[#, #2] &, A377091list[100]] (* Paolo Xausa, Feb 06 2025 *)

Prog

(PARI) \\ See Links section.

Crossrefs

Cf. A377091, A380251.

Sequence in context: A285509 A194813 A096533 * A230413 A029096 A394218

Adjacent sequences: A380247 A380248 A380249 * A380251 A380252 A380253

Keyword

nonn

Author

Rémy Sigrist, Jan 17 2025

Status

approved