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A274883 Triangle read by rows, T(n,k) = 2^k*binomial(n,k)*A057977(n-k) for n>=0 and 0<=k<=n. 0
1, 1, 2, 1, 4, 4, 3, 6, 12, 8, 2, 24, 24, 32, 16, 10, 20, 120, 80, 80, 32, 5, 120, 120, 480, 240, 192, 64, 35, 70, 840, 560, 1680, 672, 448, 128, 14, 560, 560, 4480, 2240, 5376, 1792, 1024, 256, 126, 252, 5040, 3360, 20160, 8064, 16128, 4608, 2304, 512 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

Triangle starts:

                       1;

                      1, 2;

                    1, 4, 4;

                  3, 6, 12, 8;

               2, 24, 24, 32, 16;

            10, 20, 120, 80, 80, 32;

         5, 120, 120, 480, 240, 192, 64;

     35, 70, 840, 560, 1680, 672, 448, 128;

14, 560, 560, 4480, 2240, 5376, 1792, 1024, 256;

MAPLE

T := (n, k) -> 2^k*binomial(n, k)*((n-k)!/floor((n-k)/2)!^2)/(floor((n-k)/2)+1);

seq(seq(T(n, k), k=0..n), n=0..9);

CROSSREFS

Cf. A000079 (T(n,n)), A057977 (T(n,0)), A077587 (row sum).

Cf. A189912. Row reversed A091894 is a subtriangle.

Sequence in context: A101621 A086484 A091335 * A140946 A008741 A110316

Adjacent sequences:  A274880 A274881 A274882 * A274884 A274885 A274886

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Jul 14 2016

STATUS

approved

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Last modified July 20 01:17 EDT 2019. Contains 325168 sequences. (Running on oeis4.)