A373408 - OEIS

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A373408

Minimum of the n-th maximal antirun of squarefree numbers differing by more than one.

1, 2, 3, 6, 7, 11, 14, 15, 22, 23, 30, 31, 34, 35, 38, 39, 42, 43, 47, 58, 59, 62, 66, 67, 70, 71, 74, 78, 79, 83, 86, 87, 94, 95, 102, 103, 106, 107, 110, 111, 114, 115, 119, 123, 130, 131, 134, 138, 139, 142, 143, 146, 155, 158, 159, 166, 167, 174, 178, 179

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

OFFSET

1,2

COMMENTS

The maximum is given by A007674.

An antirun of a sequence (in this case A005117) is an interval of positions at which consecutive terms differ by more than one.

Consists of 1 and all squarefree numbers n such that n - 1 is also squarefree.

LINKS

Table of n, a(n) for n=1..60.

Gus Wiseman, Four statistics for runs and antiruns of prime, nonprime, squarefree, and nonsquarefree numbers

FORMULA

a(1) = 1; a(n>1) = A007674(n-1) + 1.