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A129360 A054525 * A115361. 11
1, 0, 1, -1, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Row sums = A036987, the Fredholm-Rueppel sequence: (1, 1, 0, 1, 0, 0, 0, 1,...).

A129353 = the inverse Möbius transform of A115361.

LINKS

Table of n, a(n) for n=0..90.

FORMULA

Moebius transform of A115361.

EXAMPLE

First few rows of the triangle are:

1;

0, 1;

-1, 0, 1;

0, 0, 0, 1;

-1, 0, 0, 0, 1;

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

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

0, 0, 0, 0, 0, 0, 0, 1;

...

PROG

(PARI) tabl(nn) = {Tm = matrix(nn, nn, n, k, if (! (n % k), moebius(n/k), 0)); Tr = matrix(nn, nn, n, k, n--; k--; if ((n==k), 1, if (n==2*k+1, -1, 0))); Ti = Tr^(-1); Tp = Tm*Ti; for (n=1, nn, for (k=1, n, print1(Tp[n, k], ", "); ); print(); ); } \\ Michel Marcus, Mar 28 2015

CROSSREFS

Cf. A054525, A115361, A129353, A036987, A001511.

Sequence in context: A117945 A128937 A102511 * A129372 A169591 A004539

Adjacent sequences:  A129357 A129358 A129359 * A129361 A129362 A129363

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Apr 10 2007

EXTENSIONS

More terms from Michel Marcus, Mar 28 2015

STATUS

approved

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Last modified February 24 12:52 EST 2018. Contains 299623 sequences. (Running on oeis4.)