Time for an 2014 update…

Task/Van-der-Corput-sequence/Maxima/van-der-corput-sequence-1.maxima

@@ -0,0 +1,11 @@
+/* convert a decimal integer to a list of digits in base `base' */
+dec2digits(d, base):= block([digits: []],
+  while (d>0) do block([newdi: mod(d, base)],
+    digits: cons(newdi, digits),
+    d: round( (d - newdi) / base)),
+  digits)$
+
+dec2digits(123, 10);
+/* [1, 2, 3] */
+dec2digits(  8,  2);
+/* [1, 0, 0, 0] */

Task/Van-der-Corput-sequence/Maxima/van-der-corput-sequence-2.maxima

@@ -0,0 +1,9 @@
+/* convert a list of digits in base `base' to a decimal integer */
+digits2dec(l, base):= block([s: 0, po: 1],
+  for di in reverse(l) do (s: di*po + s, po: po*base),
+  s)$
+
+digits2dec([1, 2, 3], 10);
+/* 123 */
+digits2dec([1, 0, 0, 0], 2);
+/* 8 */

Task/Van-der-Corput-sequence/Maxima/van-der-corput-sequence-3.maxima

@@ -0,0 +1,19 @@
+vdc(n, base):= makelist(
+  digits2dec(
+    dec2digits(k, base),
+    1/base) / base,
+  k, n);
+
+vdc(10, 2);
+/*
+                        1  1  3  1  5  3  7  1   9   5
+(%o123)                [-, -, -, -, -, -, -, --, --, --]
+                        2  4  4  8  8  8  8  16  16  16
+*/
+
+vdc(10, 5);
+/*
+                      1  2  3  4  1   6   11  16  21  2
+(%o124)              [-, -, -, -, --, --, --, --, --, --]
+                      5  5  5  5  25  25  25  25  25  25
+*/

Task/Van-der-Corput-sequence/Maxima/van-der-corput-sequence-4.maxima

@@ -0,0 +1,21 @@
+/* 11 in decimal is */
+digits: digits2dec([box(1), box(0), box(1), box(1)], box(2));
+aux: expand(digits2dec(digits, 1/base) / base)$
+simp: false$
+/* reflected this would become ... */
+subst(box(2), base, aux);
+simp: true$
+
+/*
+
+                         3          2
+                      """  """   """  """   """ """   """
+(%o126)               "2"  "1" + "2"  "0" + "2" "1" + "1"
+                      """  """   """  """   """ """   """
+
+                      - 4          - 3          - 2          - 1
+               """ """      """ """      """ """      """ """
+(%o129)        "1" "2"    + "0" "2"    + "1" "2"    + "1" "2"
+               """ """      """ """      """ """      """ """
+
+*/