A143110 - OEIS

A143110

Triangle read by rows, A051731 * A000034 * 0^(n-k), 1<=k<=n.

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

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OFFSET

1,3

COMMENTS

Row sums = A069735: (1, 3, 2, 5, 2, 6, 2, 7,...).

T(n,k) = 2 if k is even and divides n, 1 if k is odd and divides n; 0 otherwise.

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Triangle read by rows, A051731 * A000034 * 0^(n-k), 1<=k<=n; where A051731 = the inverse Mobius transform and A000034 = (1, 2, 1, 2, 1, 2,...).

EXAMPLE

First few rows of the triangle are:

1, 2;

1, 0, 1;

1, 2, 0, 2;

1, 0, 0, 0, 1;

1, 2, 1, 0, 0, 2;

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

...

CROSSREFS

Cf. A051731, A000034, A069735.

Sequence in context: A035154 A113446 A121450 * A319662 A109294 A132966

Adjacent sequences: A143107 A143108 A143109 * A143111 A143112 A143113

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Mats Granvik, Jul 25 2008

STATUS

approved