A069021 Start of the first occurrence of n consecutive numbers divisible by a square greater than 1.

1, 8, 48, 242, 844, 22020, 217070, 1092747, 8870024, 221167422, 221167422, 47255689915, 82462576220, 1043460553364, 79180770078548, 3215226335143218, 23742453640900972

Offset

1,2

Links

Table of n, a(n) for n=1..17.

Mathematica

a = {1, 1}; k = 4; Do[ While[ Min[a] < 2, k++; a = Drop[a, 1]; a = Append[ a, Max[ Transpose[ FactorInteger[k]] [[2]] ]]]; Print[k - n + 1]; k++; a = Append[ a, Max[ Transpose[ FactorInteger[k]] [[2]] ]], {n, 2, 9}]

Crossrefs

Apart from first term, identical to A045882.

Sequence in context: A081084 A230931 A073390 * A079763 A079785 A225977

Adjacent sequences: A069018 A069019 A069020 * A069022 A069023 A069024

Keyword

nonn

Author

Amarnath Murthy, Apr 02 2002

Extensions

Definition clarified by Harvey P. Dale, Aug 21 2022

Status

approved