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Search: id:A144849
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| A144849 |
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Coefficients beta^{[2n]}_n arising in expansion of sinelemniscate function sl. |
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+0
6
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| 1, 6, 336, 77616, 50916096, 76307083776, 226653840838656, 1207012936807028736, 10696277678308486742016, 148900090457044541209706496, 3110043187741674836967136690176, 93885206124269301790338015801901056, 3970859549814416912519992571903015387136
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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J. S. Lomont and J. Brillhart, Elliptic Polynomials, Chapman and Hall, 2001; see p. 86.
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LINKS
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N. J. A. Sloane, Table of n, a(n) for n = 0..100
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FORMULA
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A recurrence is given in the Maple code.
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MAPLE
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a[0]:=1; b[0]:=1;
for n from 1 to 15 do b[n]:=add(binomial(4*n, 4*j+2)*b[j]*b[n-1-j], j=0..n-1);
a[n]:=(1/3)*add(binomial(4*n-1, 4*j+1)*a[j]*b[n-1-j], j=0..n-1); od:
tb:=[seq(b[n], n=0..15)];
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CROSSREFS
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Cf. A144853.
Sequence in context: A135195 A001509 A003031 this_sequence A047941 A000409 A059415
Adjacent sequences: A144846 A144847 A144848 this_sequence A144850 A144851 A144852
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Feb 12 2009
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