



1, 1, 2, 1, 0, 4, 1, 2, 0, 8, 1, 0, 0, 0, 16, 1, 2, 4, 0, 0, 32, 1, 0, 0, 0, 0, 0, 64, 1, 2, 0, 8, 0, 0, 0, 128, 1, 0, 4, 0, 0, 0, 0, 0, 256, 1, 2, 0, 0, 16, 0, 0, 0, 0, 512, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1024, 1, 2, 4, 8, 0, 32, 0, 0, 0, 0, 0, 2048
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OFFSET

1,3


COMMENTS

Row sums = A034729: (1, 3, 5, 11, 17, ...).


LINKS



FORMULA

Triangle read by rows A051731 * A130123, 1<=k<=n, where A130123 = an infinite lower triangular matrix with (1, 2, 4, 8, ...) in the main diagonal and the rest zeros. A051731 = the inverse Mobius transform.


EXAMPLE

First few rows of the triangle are:
1;
1, 2;
1, 0, 4;
1, 2, 0, 8;
1, 0, 0, 0, 16;
1, 2, 4, 0, 0, 32;
...


PROG

(PARI) tabl(nn) = {ma = matrix(nn, nn, n, k, !(n%k)); mb = matrix(nn, nn, n, k, n; k; if (n==k, 2^n, 0)); m = ma*mb; for (n=1, nn, for (k=1, n, print1(m[n, k], ", "); ); print(); ); } \\ Michel Marcus, Jun 30 2017


CROSSREFS



KEYWORD



AUTHOR



EXTENSIONS



STATUS

approved



