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Search: id:A112239
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| 0, 0, 0, 1, -2, 0, 3, 3, -6, 0, 12, 12, 6, -12, 0, 60, 60, 30, 10, -20, 0, 360, 360, 180, 60, 15, -30, 0, 2520, 2520, 1260, 420, 105, 21, -42, 0, 20160, 20160, 10080, 3360, 840, 168, 28, -56, 0, 181440, 181440, 90720, 30240, 7560, 1512, 252, 36, -72, 0
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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A111595 is the triangle of coefficients of square of Hermite polynomials divided by 2^n with argument sqrt(x/2).
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FORMULA
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T(n, k) = n!/k!/2 for n-1>k>=0; T(k+1, k) = -k*(k+1), T(k, k) = 0 for k>=0.
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EXAMPLE
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Triangle begins:
0;
0,0;
1,-2,0;
3,3,-6,0;
12,12,6,-12,0;
60,60,30,10,-20,0;
360,360,180,60,15,-30,0;
2520,2520,1260,420,105,21,-42,0;
20160,20160,10080,3360,840,168,28,-56,0; ...
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PROGRAM
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(PARI) T(n, k)=if(n<=k|k<0, 0, if(n-1==k, -k*(k+1), n!/k!/2))
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CROSSREFS
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Cf. A112239.
Adjacent sequences: A112236 A112237 A112238 this_sequence A112240 A112241 A112242
Sequence in context: A038073 A046667 A108407 this_sequence A021835 A112476 A102389
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KEYWORD
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sign,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 29 2005
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