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A157361 Triangle read by rows, A051731 * (A114810 * 0^(n-k)) 1
1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 4, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 6, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 4, 1, 1, 0, 0, 4, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Row sums = A055653: (1, 2, 3, 3, 5, 6, 7, 5,...)

LINKS

Table of n, a(n) for n=1..78.

FORMULA

Triangle read by rows, A051731 * (A114810 * 0^(n-k)); where A051731 = the inverse Mobius transform and (A114810 * 0^(n-k)) = an infinite lower triangular matrix with A114810 as the main diagonal: (1, 1, 2, 1, 4, 2, 6,...) and the rest zeros.

EXAMPLE

First few rows of the triangle =

1;

1, 1;

1, 0, 2;

1, 1, 0, 1;

1, 0, 0, 0, 4;

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

1, 0, 0, 0, 0, 0, 6;

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

1, 0, 2, 0, 0, 0, 0, 0, 4;

1, 1, 0, 0, 4, 0, 0, 0, 0, 4;

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10;

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

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12;

1, 1, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6;

...

CROSSREFS

Cf. A114810, A055653

Sequence in context: A271592 A128409 A133699 * A224444 A101808 A145865

Adjacent sequences:  A157358 A157359 A157360 * A157362 A157363 A157364

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Feb 28 2009

STATUS

approved

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Last modified January 19 18:20 EST 2019. Contains 319309 sequences. (Running on oeis4.)