OFFSET
0,2
REFERENCES
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).
LINKS
H. E. Salzer, Coefficients for repeated integration with central differences, Journal of Mathematics and Physics, 28 (1949), 54-61.
FORMULA
a(n) is the numerator of -(n/2)*M(n) - (2n+2)*M(n+1), where M(n) = (2/(2n+1)!)*Integral_{t=0..1} t*Product_{k=1..n} (t^2 - k^2). - Emeric Deutsch, Jan 25 2005
MAPLE
M:=n->(2/(2*n+1)!)*int(t*product(t^2-k^2, k=1..n), t=0..1): B:=n->-(n/2)*M(n)-(2*n+2)*M(n+1): seq(numer(B(n)), n=0..16); # Emeric Deutsch, Jan 25 2005
CROSSREFS
KEYWORD
sign,frac
AUTHOR
EXTENSIONS
More terms from Emeric Deutsch, Jan 25 2005
STATUS
approved
