

A244492


Triangle read by rows: T(n,k) (n>=2, 0 <= k <= n2) = n!/(2^i*i!*k!), where k=n2i (or 0 for entries with wrong parity).


0



1, 0, 3, 3, 0, 6, 0, 15, 0, 10, 15, 0, 45, 0, 15, 0, 105, 0, 105, 0, 21, 105, 0, 420, 0, 210, 0, 28, 0, 945, 0, 1260, 0, 378, 0, 36, 945, 0, 4725, 0, 3150, 0, 630, 0, 45
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OFFSET

0,3


LINKS



EXAMPLE

Triangle begins:
1;
0, 3;
3, 0, 6;
0, 15, 0, 10;
15, 0, 45, 0, 15;
0, 105, 0, 105, 0, 21;
105, 0, 420, 0, 210, 0, 28;
0, 945, 0, 1260, 0, 378, 0, 36;
945, 0, 4725, 0, 3150, 0, 630, 0, 45;
...


MATHEMATICA

T[n_, k_] := With[{i = (nk)/2}, If[EvenQ[nk], n!/(2^i i! k!), 0]];


CROSSREFS

This is A099174 without the two rightmost diagonals.


KEYWORD



AUTHOR



STATUS

approved



