A043302 Triangular table of 2^n *(n+k)! / ((n-k)! * k! * 4^k).

1, 2, 1, 4, 6, 3, 8, 24, 30, 15, 16, 80, 180, 210, 105, 32, 240, 840, 1680, 1890, 945, 64, 672, 3360, 10080, 18900, 20790, 10395, 128, 1792, 12096, 50400, 138600, 249480, 270270, 135135, 256, 4608, 40320, 221760, 831600, 2162160, 3783780, 4054050

Offset

1,2

Links

Table of n, a(n) for n=1..44.

Formula

T(n, 0) = A001147(n). T(n, n) = A000079(n).

Example

1; 2, 1; 4, 6, 3; 8, 24, 30, 15; 16, 80, 180, 210, 105; ...

Prog

(PARI) {T(n, k) = if( k<0 || k>n, 0, 2^n * (n+k)! / ((n-k)! * k! * 4^k))}

Crossrefs

Cf. A000079, A001147, A001498, A043301, A043302. Row sums is A043301.

Sequence in context: A064786 A367286 A193902 * A375305 A343964 A345135

Adjacent sequences: A043299 A043300 A043301 * A043303 A043304 A043305

Keyword

nonn,tabl,easy

Author

Michael Somos, Jul 16 2002

Status

approved