A358617 - OEIS

A358617

a(n) is the number of zeros among the first n terms of row n of the Gilbreath array shown in A036262.

0, 0, 1, 2, 3, 3, 3, 3, 1, 8, 7, 5, 7, 9, 5, 8, 5, 9, 10, 10, 8, 9, 10, 11, 10, 10, 17, 12, 17, 12, 13, 8, 20, 22, 18, 17, 14, 25, 20, 24, 24, 22, 21, 15, 19, 25, 25, 25, 24, 24, 21, 23, 27, 24, 23, 29, 32, 19, 26, 36, 34, 34, 31, 27, 35, 38, 35, 37, 25, 37

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OFFSET

1,4

COMMENTS

Conjecture: If = (a(n)/n), then (lim inf S) > 2/5 and (lim sup S) < 3/5.

LINKS

Table of n, a(n) for n=1..70.

EXAMPLE

Corner of Gilbreath array:

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101

1 2 2 4 2 4 2 4 6 2 6 4 2 4 6 6 2 6 4 2 6 4 6 8 4 2

1 0 2 2 2 2 2 2 4 4 2 2 2 2 0 4 4 2 2 4 2 2 2 4 2 2