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URL: https://oeis.org/A380263

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A380263

a(n) is the minimum number of elements to add to the set {A377091(k), k = 0..n} in order to obtain an integer interval.

3

0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 6, 5, 4, 3, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,14

LINKS

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

Rémy Sigrist, Scatterplot of (n, v) such that n = 0..1000 and v runs through the a(n) elements to add to obtain an interval

Rémy Sigrist, Scatterplot of (n, v) such that v runs through the a(n) elements to add to obtain an interval (in black) and scatterplot of (n, A377091(n)) (in red), both for n = 0..1000

Rémy Sigrist, Colored scatterplot of (n, abs(v)) such that n = 0..1000 and v runs through the a(n) elements to add to obtain an interval (blue pixels denote negative v's, red pixels positive v's, black pixels both negative and positive v's)

Rémy Sigrist, PARI program

FORMULA

a(n) = A380250(n) + A380251(n) - n.

EXAMPLE

The initial terms are:

n a(n) A377091(n) elements to add

-- ---- ---------- ---------------

0 0 0 {}

1 0 1 {}

2 0 2 {}

3 1 -2 {-1}

4 0 -1 {}

5 0 3 {}

6 0 4 {}

7 0 5 {}

8 1 -4 {-3}

9 0 -3 {}

10 0 6 {}

11 0 7 {}

12 0 8 {}

13 3 -8 {-7, -6, -5}

14 2 -7 {-6, -5}

15 1 -6 {-5}

16 0 -5 {}

MATHEMATICA

(* A377091list is defined at A377091 *)

FoldList[Max[#, #2] &, #] - FoldList[Min[#, #2] &, #] - Range[0, Length[#] - 1] & [A377091list[100]] (* Paolo Xausa, Feb 06 2025 *)

PROG

(PARI) \\ See Links section.

CROSSREFS

Cf. A377091, A380250, A380251.

Sequence in context: A267883 A333437 A378385 * A058257 A330959 A083199

Adjacent sequences: A380260 A380261 A380262 * A380264 A380265 A380266

KEYWORD

nonn

AUTHOR

Rémy Sigrist, Jan 18 2025

STATUS

approved