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Search: id:A144853
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| A144853 |
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Coefficients alpha^{[2n]}_n arising in expansion of sinelemniscate function sl. |
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+0
2
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| 1, 1, 21, 2541, 1023561, 1036809081, 2219782435101, 8923051855107621, 61797392100611962641, 690766390156657904866161, 11839493254591562294152214181, 298556076626963858753929987732701, 10706038142052878970311146962646277721, 530588758323899225681861502684757146635241
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OFFSET
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0,3
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REFERENCES
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J. S. Lomont and J. Brillhart, Elliptic Polynomials, Chapman and Hall, 2001; see p. 87.
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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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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:
ta:=[seq(a[n], n=0..15)];
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CROSSREFS
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Cf. A144849.
Sequence in context: A033510 A123844 A068254 this_sequence A131314 A122801 A099680
Adjacent sequences: A144850 A144851 A144852 this_sequence A144854 A144855 A144856
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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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