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A043302
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Triangular table of 2^n*(n+k)!/(n-k)!/k!/4^k.
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2
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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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| 1; 2,1; 4,6,3; 8,24,30,15; 16,80,180,210,105; ...
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PROG
| (PARI) T(n, k)=if(k<0|k>n, 0, 2^n*(n+k)!/(n-k)!/k!/4^k)
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CROSSREFS
| A001147(n)=T(n, 0), A000079(n)=T(n, n). Row sums A043301. Cf. A001498.
Cf. A043301, A043302.
Sequence in context: A127366 A064786 A193902 * A143897 A036662 A134306
Adjacent sequences: A043299 A043300 A043301 * A043303 A043304 A043305
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KEYWORD
| nonn,tabl,easy
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AUTHOR
| Michael Somos, Jul 16 2002
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