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A244097 a(n) is the smallest k such that the sum of n consecutive values M(k) + M(k+1) + ... + M(k+n-1) is zero, where M(m) is the Moebius (or Möbius) function (A008683). 1
4, 1, 4, 6, 8, 5, 4, 10, 6, 7, 5, 4, 4, 8, 9, 6, 8, 5, 4, 6, 7, 5, 4, 4, 4, 9, 8, 10, 6, 7, 5, 4, 4, 5, 4, 14, 3, 3, 1, 1, 6, 10, 9, 8, 8, 6, 6, 8, 8, 6, 6, 10, 5, 4, 5, 3, 4, 1, 4, 4, 4, 5, 3, 26, 1, 4, 24, 10, 9, 8, 17, 6, 16, 13, 12, 15, 10, 9, 8, 10, 6, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Michel Lagneau, Table of n, a(n) for n = 1..1000

EXAMPLE

a(1)= 4 => M(4) = 0;

a(2)= 1 => M(1)+ M(2) = 1-1 = 0;

a(3)= 4 => M(4)+ M(5)+ M(6) = 0-1+1 = 0;

a(4)= 6 => M(6)+ M(7)+ M(8) + M(9) = 1-1+0+0 = 0;

a(5)= 8 => M(8)+ M(9)+ M(10)+ M(11)+ M(12) = 0+0+1-1+0 = 0.

MATHEMATICA

Table[k=1; While[Sum[MoebiusMu[k+i], {i, 0, n-1}]!=0, k++]; k, {n, 1, 100}]

PROG

(PARI) a(n) = my(k = 1); while(sum(j=k, n+k-1, moebius(j)) != 0, k++); k; \\ Michel Marcus, Aug 30 2014

CROSSREFS

Cf. A008683, A171910.

Sequence in context: A092856 A051006 A072812 * A162956 A131112 A141225

Adjacent sequences:  A244094 A244095 A244096 * A244098 A244099 A244100

KEYWORD

nonn

AUTHOR

Michel Lagneau, Aug 30 2014

STATUS

approved

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Last modified April 22 12:22 EDT 2021. Contains 343177 sequences. (Running on oeis4.)