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A178408 Triangle T(n,k) read by rows. Each column is the Mobius function "recurrence" with the previous column as input. 0
1, 0, -1, 0, -1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 4, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,18

COMMENTS

The title says "recurrence" in quotes because the Mobius function does not have a regular recurrence. Row sums are A008683. Number of nonzero elements in the rows are A086436 which is essentially the same as A001222. Each row is a row in a Pascal like triangle.

LINKS

Table of n, a(n) for n=1..97.

EXAMPLE

Table begins:

1,

0,-1,

0,-1,0,

0,-1,1,0,

0,-1,0,0,0,

0,-1,2,0,0,0,

0,-1,0,0,0,0,0,

0,-1,2,-1,0,0,0,0,

0,-1,1,0,0,0,0,0,0,

0,-1,2,0,0,0,0,0,0,0,

CROSSREFS

Cf. A008683, A086436, A001222.

Sequence in context: A221836 A279372 A086077 * A073345 A216511 A138088

Adjacent sequences:  A178405 A178406 A178407 * A178409 A178410 A178411

KEYWORD

sign,tabl

AUTHOR

Mats Granvik, May 27 2010

STATUS

approved

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Last modified February 24 01:16 EST 2020. Contains 332195 sequences. (Running on oeis4.)