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Search: id:A002019
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| A002019 |
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a(n)=a(n-1)-(n-1)(n-2)a(n-2).
(Formerly M4330 N1813)
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+0
5
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| 1, 1, 1, -1, -7, 5, 145, -5, -6095, -5815, 433025, 956375, -46676375, -172917875, 7108596625, 38579649875, -1454225641375, -10713341611375, 384836032842625, 3663118565923375, -127950804666254375, -1519935859717136875
(list; graph; listen)
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OFFSET
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0,5
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
R. Kelisky, The numbers generated by exp(arctan x), Duke Math. J., 26 (1959), 569-581.
Dwight, Tables of Integrals ..., Eq. 552.5, page 133.
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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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E.g.f.: exp(arctan(x)).
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CROSSREFS
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Bisections are A102058 and A102059.
Cf. A006228.
Row sums of signed triangle A049218.
Sequence in context: A005692 A080798 A007553 this_sequence A012878 A003299 A154017
Adjacent sequences: A002016 A002017 A002018 this_sequence A002020 A002021 A002022
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KEYWORD
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sign,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from H. P. Robinson.
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