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A002020 a(n+1) = a(n) - n(n-1)a(n-1).
(Formerly M3876 N1588)
4
1, 1, 1, 1, -5, -17, 83, 593, -2893, -36101, 172195, 3421285, -15520165, -467129785, 1954015955, 86971636825, -323371713725, -21196564551725, 66760541581475, 6552909294409325, -16279195926455125, -2506384727801998625, 4330877561309153875 (list; graph; refs; listen; history; internal format)
OFFSET

1,5

REFERENCES

R. Kelisky, The numbers generated by exp(arctan x), Duke Math. J., 26 (1959), 569-581.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

MAPLE

f := proc(n) option remember; if n<=3 then 1 else f(n-1)-(n-1)*(n-2)*f(n-2); fi; end;

CROSSREFS

Sequence in context: A149753 A149754 A149755 * A038183 A149756 A036756

Adjacent sequences:  A002017 A002018 A002019 * A002021 A002022 A002023

KEYWORD

sign,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 10:53 EST 2012. Contains 205904 sequences.