/usr/share/axiom-20170501/input/bernpoly.input is in axiom-test 20170501-3.
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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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