login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A129360 A054525 * A115361. 12
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

1,1

COMMENTS

Row sums = A209229 (1, 1, 0, 1, 0, 0, 0, 1, ...).

A129353 = the inverse Möbius transform of A115361.

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..1275

FORMULA

Moebius transform of A115361.

T(n,k) = A087003(n/k) for k | n, T(n,k) = 0 otherwise. - Andrew Howroyd, Aug 03 2018

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

(PARI) T(n, k)={ if(n%k, 0, sumdiv(n/k, d, my(e=valuation(d, 2)); if(d==1<<e, moebius(n/(k*d)), 0))) } \\ Andrew Howroyd, Aug 03 2018

CROSSREFS

Column 1 is A087003 (Moebius transform of A209229).

Row sums are A209229.

Cf. A054525, A115361, A129353, A001511, A103994, A129501.

Sequence in context: A288004 A102511 A266669 * A129372 A169591 A189295

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

Offset changed by Andrew Howroyd, Aug 03 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 1 22:24 EST 2020. Contains 338858 sequences. (Running on oeis4.)