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A073768
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Triangle of coefficients of Bateman polynomial n!Z_n(-x).
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1
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1, 1, 2, 2, 12, 6, 6, 72, 90, 20, 24, 480, 1080, 560, 70, 120, 3600, 12600, 11200, 3150, 252, 720, 30240, 151200, 201600, 94500, 16632, 924, 5040, 282240, 1905120, 3528000, 2425500, 698544, 84084, 3432, 40320, 2903040, 25401600, 62092800
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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EXAMPLE
| 1; 1,2; 2,12,6; 6,72,90,20; 24,480,1080,560,70; ...
2!Z_2(-x)=2+12x+6x^2.
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PROG
| (PARI) T(n, k)=if(k<0|k>n, 0, n!*(n+k)!/(n-k)!/k!^3)
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CROSSREFS
| A073767 gives row sums.
Sequence in context: A109813 A086595 A013605 * A096855 A024538 A190295
Adjacent sequences: A073765 A073766 A073767 * A073769 A073770 A073771
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KEYWORD
| nonn,tabl
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AUTHOR
| Michael Somos
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