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Search: id:A127947
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| A127947 |
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Hankel transform of central coefficients of (1+k*x+5x^2)^n, k arbitrary integer. |
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+0
1
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| 1, 10, 500, 125000, 156250000, 976562500000, 30517578125000000, 4768371582031250000000, 3725290298461914062500000000, 14551915228366851806640625000000000
(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 A098264. The Hankel transform of e.g.f. Bessel_I(0,2*sqrt(5)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)=2^n*5^C(n+1,2)
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CROSSREFS
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Sequence in context: A035320 A071096 A039835 this_sequence A095232 A042209 A163703
Adjacent sequences: A127944 A127945 A127946 this_sequence A127948 A127949 A127950
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 08 2007
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