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Search: id:A005647
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| A005647 |
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Salie numbers.
(Formerly M3066)
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+0
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; listen)
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OFFSET
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0,3
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 87, Problem 32.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
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FORMULA
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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
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a(n) = A000795(n)/2^n.
Sequence in context: A058165 A074707 A135749 this_sequence A001833 A001035 A136652
Adjacent sequences: A005644 A005645 A005646 this_sequence A005648 A005649 A005650
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Simon Plouffe (plouffe(AT)math.uqam.ca), njas
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