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Search: id:A127946
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| A127946 |
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Hankel transform of central coefficients of (1+k*x-3x^2)^n, k arbitrary integer. |
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+0
1
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| 1, -6, -108, 5832, 944784, -459165024, -669462604992, 2928229434235008, 38424226636031774976, -1512608105754026853705216, -178635992073339063368878599168, 63289660175631590117213474413627392, 67269440586795655766964092111705109663744
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Hankel transform of A098333. The Hankel transform of e.g.f. Bessel_I(0,2*sqrt(-3)x) and its k_th binomial transforms, are given by a(n). In general, the Hankel transform of e.g.f. Bessel_I(0,2*sqrt(m)x) and its binomial transforms is 2^n*m^C(n+1,2).
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FORMULA
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a(n)=(cos(pi*n/2)-sin(pi*n/2))*6^n*3^C(n,2)=2^n*(-3)^C(n+1,2);
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CROSSREFS
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Sequence in context: A167484 A011555 A122722 this_sequence A012503 A132856 A041149
Adjacent sequences: A127943 A127944 A127945 this_sequence A127947 A127948 A127949
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KEYWORD
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easy,sign
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 08 2007
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