A268313 - OEIS

A268313

First term of a run of at least 10 consecutive integers which are not squarefree.

221167422, 221167423, 262315467, 363504972, 463239475, 1202800371, 1407472722, 1407472723, 1557947844, 1609077723, 1911823144, 2217728772, 2695179044, 2737800168, 2847305571, 3639720042, 3639720043, 3672883247, 3865964268, 3865964269, 3982659575, 4246929267, 4818537743, 4982931368

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OFFSET

1,1

LINKS

M. F. Hasler, Table of n, a(n) for n = 1..61

FORMULA

A268313 = { A078143[k] | A078143[k+1] = A078143[k]+1 } = { A077647[k] | A077647[k+2] = A077647[k]+2 } = { A077640[k] | A077640[k+3] = A077640[k]+3 }.

MATHEMATICA

s10[x_] := Apply[Plus, Table[Abs[MoebiusMu[x+j]], {j, 0, 9}]]; Do[If[Equal[s10[n], 0], Print[n]], {n, 10^8, 10^10}]

CROSSREFS

Cf. A013929, A045882 (first of the k-chains), A051681.

Cf. A068781 (2-chains), A070258 (3-chains), A070284 (4-chains), A078144 (5-chains), A049535 (6-chains), A077640 (7-chains), A077647 (8-chains), A078143 (9-chains), A268314 (11-chains).

Sequence in context: A104943 A250599 A114672 * A268314 A231630 A231092

Adjacent sequences: A268310 A268311 A268312 * A268314 A268315 A268316

KEYWORD

nonn

AUTHOR

M. F. Hasler, Feb 01 2016

STATUS

approved