login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A130210
Triangle read by rows: matrix product A051731 * A130209.
1
1, 1, 2, 1, 0, 2, 1, 2, 0, 3, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 4, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 3, 0, 0, 0, 4, 1, 0, 2, 0, 0, 0, 0, 0, 3, 1, 2, 0, 0, 2, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 3, 0, 4, 0, 0, 0, 0, 0, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2
OFFSET
1,3
FORMULA
Inverse Moebius transform of A130209.
T(n,n) = A000005(n).
EXAMPLE
First few rows of the triangle are:
1;
1, 2;
1, 0, 2;
1, 2, 0, 3;
1, 0, 0, 0, 2;
1, 2, 2, 0, 0, 4;
1, 0, 0, 0, 0, 0, 2;
...
MAPLE
A130210 := proc(n, k)
add( A051731(n, j)*A130209(j, k), j=k..n) ;
end proc:
seq(seq(A130210(n, k), k=1..n), n=1..15) ; # R. J. Mathar, Aug 06 2016
CROSSREFS
Cf. A000005, A007425 (row sums).
Sequence in context: A230025 A330374 A207869 * A236459 A190427 A287108
KEYWORD
nonn,tabl,easy
AUTHOR
Gary W. Adamson, May 17 2007
STATUS
approved