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A288424 Partial sums of A288384. 3
0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

COMMENTS

It appears that the number of zeros is infinite.

Observation: at least for the first 110 terms the largest distance between two zeros that are between nonzero terms is 3.

Question: are there distances > 3?

From Hartmut F. W. Hoft, Jun 13 2017: (Start)

Yes: a(346...351) = {0,1,2,3,4,0).

Conjecture: a(n)>=0, for all n>=0, and a(n) is unbounded.

First occurrences are: 3 = a(337) occurring 27 times; 4 = a(350) occurring 8 times; 5 = a(830) occurring 5 times; all through n=2500. (End)

LINKS

Table of n, a(n) for n=0..104.

MATHEMATICA

(* function a288384[] is defined in A288384 *)

a288424[n_] := Accumulate[a288384[n]]

a288424[104] (* data *) (* Hartmut F. W. Hoft, Jun 13 2017 *)

CROSSREFS

Cf. A274650, A286294, A288384.

Sequence in context: A117886 A145723 A085977 * A127325 A259660 A119842

Adjacent sequences:  A288421 A288422 A288423 * A288425 A288426 A288427

KEYWORD

nonn

AUTHOR

Omar E. Pol, Jun 09 2017

EXTENSIONS

Reversed the signs at suggestion of Hartmut F. W. Hoft. - Omar E. Pol, Jun 13 2017

STATUS

approved

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Last modified January 16 21:37 EST 2019. Contains 319206 sequences. (Running on oeis4.)