/usr/share/axiom-20140801/input/bernpoly.input is in axiom-test 20140801-6.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 | --Copyright The Numerical Algorithms Group Limited 1994.
-- the first 10 Bernoulli polynomials (Approximate Calculation of Integrals
-- by V. Krylov Macmillan 1962 p13)
draw(1,x=0..1)
draw(x-(1/2),x=0..1)
draw(x**2-x+(1/6),x=0..1)
draw(x**3-(3/2)*x**2+(1/2)*x,x=0..1)
draw(x**4-2*x**3+x**2-(1/30),x=0..1)
draw(x**5-(5/2)*x**4+(5/3)*x**3-(1/6)*x,x=0..1)
draw(x**6-3*x**5+(5/2)*x**4-(1/2)*x**2+(1/42),x=0..1)
draw(x**7-(7/2)*x**6+(7/2)*x**5-(7/6)*x**3+(1/6)*x,x=0..1)
draw(x**8-4*x**7+(14/3)*x**6-(7/3)*x**4+(2/3)*x**2-(1/30),x=0..1)
draw(x**9-(9/2)*x**8+6*x**7-(21/5)*x**5+2*x**3-(3/10)*x,x=0..1)
draw(x**10-5*x**9+(15/2)*x**8-7*x**6+5*x**4-(3/2)*x**2+(5/66),x=0..1)
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