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A191607 Table of the difference of numerator and denominator of Farey sequences, read by rows. 1
1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 3, 2, 1, 1, 1, 0, 1, 4, 3, 2, 3, 1, 2, 1, 1, 1, 0, 1, 5, 4, 3, 2, 3, 1, 2, 1, 1, 1, 1, 0, 1, 6, 5, 4, 3, 5, 2, 3, 4, 1, 3, 2, 1, 2, 1, 1, 1, 1, 0, 1, 7, 6, 5, 4, 3, 5, 2, 5, 3, 4, 1, 3, 2, 3, 1, 2, 1, 1, 1, 1, 1, 0, 1, 8, 7, 6, 5, 4, 7, 3, 5, 2, 5, 3, 4, 5, 1, 4, 3, 2, 3, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

For n>=1, the n-th row begins with 1, n-1 and ends with 1, 0.

1, 0

1, 1, 0

1, 2, 1, 1, 0

1, 3, 2, 1, 1, 1, 0

1, 4, 3, 2, 3, 1, 2, 1, 1, 1, 0

etc.

Row n has A005728(n) terms. - Michel Marcus, Jun 27 2014

LINKS

Table of n, a(n) for n=1..112.

MATHEMATICA

Farey[n_] := Union[ Flatten[ Join[{0}, Table[a/b, {b, n}, {a, b}]]]]; Table[ -Numerator@ Farey@ n + Denominator@ Farey@ n, {n, 9}] // Flatten

CROSSREFS

Cf. A133404.

Sequence in context: A174295 A158511 A092921 * A029387 A070878 A228128

Adjacent sequences:  A191604 A191605 A191606 * A191608 A191609 A191610

KEYWORD

easy,tabf,nonn

AUTHOR

Robert G. Wilson v, Jun 11 2011

STATUS

approved

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Last modified September 20 08:44 EDT 2018. Contains 315232 sequences. (Running on oeis4.)