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A005647
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Salie numbers.
(Formerly M3066)
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8
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1, 1, 3, 19, 217, 3961, 105963, 3908059, 190065457, 11785687921, 907546301523, 84965187064099, 9504085749177097, 1251854782837499881, 191781185418766714683, 33810804270120276636139, 6796689405759438360407137, 1545327493049348356667631841
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 87, Problem 32.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..100
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FORMULA
| Expand cosh x / cos x and multiply coefficients by n!/(2^(n/2)).
a(n) = 2^(-n)*Sum_{k=0..n} A000364(k)*binomial(2*n, 2*k)). - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jul 30 2003
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CROSSREFS
| a(n) = A000795(n)/2^n.
Sequence in context: A058165 A074707 A135749 * A158876 A001833 A001035
Adjacent sequences: A005644 A005645 A005646 * A005648 A005649 A005650
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KEYWORD
| nonn,easy,nice
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AUTHOR
| Simon Plouffe (simon.plouffe(AT)gmail.com), N. J. A. Sloane (njas(AT)research.att.com).
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