History of Complete homogeneous symmetric polynomials $h_k$

       \ sum(prod(c) for c in combinations_with_replacement(R.gens(), k))\n\nhomogeneous(6,\       \ 4)                # the next degree after this table"-Numbers: []+Numbers:+- params:+    n: '1'+    k: '1'+  number: x1+- params:+    n: '1'+    k: '2'+  number: x1^2+- params:+    n: '1'+    k: '3'+  number: x1^3+- params:+    n: '2'+    k: '1'+  number: x1 + x2+- params:+    n: '2'+    k: '2'+  number: x1^2 + x1*x2 + x2^2+- params:+    n: '2'+    k: '3'+  number: x1^3 + x1^2*x2 + x1*x2^2 + x2^3+- params:+    n: '3'+    k: '1'+  number: x1 + x2 + x3+- params:+    n: '3'+    k: '2'+  number: x1^2 + x1*x2 + x2^2 + x1*x3 + x2*x3 + x3^2+- params:+    n: '3'+    k: '3'+  number: x1^3 + x1^2*x2 + x1*x2^2 + x2^3 + x1^2*x3 + x1*x2*x3 + x2^2*x3 + x1*x3^2+    + x2*x3^2 + x3^3+- params:+    n: '4'+    k: '1'+  number: x1 + x2 + x3 + x4+- params:+    n: '4'+    k: '2'+  number: x1^2 + x1*x2 + x2^2 + x1*x3 + x2*x3 + x3^2 + x1*x4 + x2*x4 + x3*x4 + x4^2+- params:+    n: '4'+    k: '3'+  number: x1^3 + x1^2*x2 + x1*x2^2 + x2^3 + x1^2*x3 + x1*x2*x3 + x2^2*x3 + x1*x3^2+    + x2*x3^2 + x3^3 + x1^2*x4 + x1*x2*x4 + x2^2*x4 + x1*x3*x4 + x2*x3*x4 + x3^2*x4+    + x1*x4^2 + x2*x4^2 + x3*x4^2 + x4^3+- params:+    n: '5'+    k: '1'+  number: x1 + x2 + x3 + x4 + x5+- params:+    n: '5'+    k: '2'+  number: x1^2 + x1*x2 + x2^2 + x1*x3 + x2*x3 + x3^2 + x1*x4 + x2*x4 + x3*x4 + x4^2+    + x1*x5 + x2*x5 + x3*x5 + x4*x5 + x5^2+- params:+    n: '5'+    k: '3'+  number: x1^3 + x1^2*x2 + x1*x2^2 + x2^3 + x1^2*x3 + x1*x2*x3 + x2^2*x3 + x1*x3^2+    + x2*x3^2 + x3^3 + x1^2*x4 + x1*x2*x4 + x2^2*x4 + x1*x3*x4 + x2*x3*x4 + x3^2*x4+    + x1*x4^2 + x2*x4^2 + x3*x4^2 + x4^3 + x1^2*x5 + x1*x2*x5 + x2^2*x5 + x1*x3*x5+    + x2*x3*x5 + x3^2*x5 + x1*x4*x5 + x2*x4*x5 + x3*x4*x5 + x4^2*x5 + x1*x5^2 + x2*x5^2+    + x3*x5^2 + x4*x5^2 + x5^3+- params:+    n: '6'+    k: '1'+  number: x1 + x2 + x3 + x4 + x5 + x6+- params:+    n: '6'+    k: '2'+  number: x1^2 + x1*x2 + x2^2 + x1*x3 + x2*x3 + x3^2 + x1*x4 + x2*x4 + x3*x4 + x4^2+    + x1*x5 + x2*x5 + x3*x5 + x4*x5 + x5^2 + x1*x6 + x2*x6 + x3*x6 + x4*x6 + x5*x6+    + x6^2+- params:+    n: '6'+    k: '3'+  number: x1^3 + x1^2*x2 + x1*x2^2 + x2^3 + x1^2*x3 + x1*x2*x3 + x2^2*x3 + x1*x3^2+    + x2*x3^2 + x3^3 + x1^2*x4 + x1*x2*x4 + x2^2*x4 + x1*x3*x4 + x2*x3*x4 + x3^2*x4+    + x1*x4^2 + x2*x4^2 + x3*x4^2 + x4^3 + x1^2*x5 + x1*x2*x5 + x2^2*x5 + x1*x3*x5+    + x2*x3*x5 + x3^2*x5 + x1*x4*x5 + x2*x4*x5 + x3*x4*x5 + x4^2*x5 + x1*x5^2 + x2*x5^2+    + x3*x5^2 + x4*x5^2 + x5^3 + x1^2*x6 + x1*x2*x6 + x2^2*x6 + x1*x3*x6 + x2*x3*x6+    + x3^2*x6 + x1*x4*x6 + x2*x4*x6 + x3*x4*x6 + x4^2*x6 + x1*x5*x6 + x2*x5*x6 + x3*x5*x6+    + x4*x5*x6 + x5^2*x6 + x1*x6^2 + x2*x6^2 + x3*x6^2 + x4*x6^2 + x5*x6^2 + x6^3