diff --git a/tutorials/Test forbidden permutation on k=5.ipynb b/tutorials/Test forbidden permutation on k=5.ipynb
new file mode 100644
index 0000000..5769bb0
--- /dev/null
+++ b/tutorials/Test forbidden permutation on k=5.ipynb	
@@ -0,0 +1,131 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "a99e6d0c",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from cdl import *\n",
+    "# The test examples are from:  https://arxiv.org/pdf/2109.13485.pdf"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "91a57697",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "119\n",
+      "694\n",
+      "4578\n",
+      "33184\n",
+      "258757\n",
+      "2136978\n"
+     ]
+    }
+   ],
+   "source": [
+    "# https://oeis.org/A256195  -> 1, 1, 2, 6, 24, 119, 694, 4578, 33184, 258757, 2136978\n",
+    "for n in range(5, 11):\n",
+    "    fp = ForbiddenPermutation(n, 5)\n",
+    "    tls = fp.init_tls()\n",
+    "    for tl in tls:\n",
+    "        tls = fp.assign_laws(tls, tl.tuple, [[2, 5, 3, 1, 4]])\n",
+    "    print(fp.size(tls))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "a38a05a6",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "119\n",
+      "694\n",
+      "4581\n",
+      "33287\n",
+      "260967\n",
+      "2175379\n"
+     ]
+    }
+   ],
+   "source": [
+    "# https://oeis.org/A256206 -> 1, 1, 2, 6, 24, 119, 694, 4581, 33287, 260967, 2175379\n",
+    "for n in range(5, 11):\n",
+    "    fp = ForbiddenPermutation(n, 5)\n",
+    "    tls = fp.init_tls()\n",
+    "    for tl in tls:\n",
+    "        tls = fp.assign_laws(tls, tl.tuple, [[4, 2, 3, 1, 5]])\n",
+    "    print(fp.size(tls))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "4749e575",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "119\n",
+      "694\n",
+      "4580\n",
+      "33254\n",
+      "260285\n",
+      "2163930\n"
+     ]
+    }
+   ],
+   "source": [
+    "# https://oeis.org/A256201 -> 1, 1, 2, 6, 24, 119, 694, 4580, 33254, 260285, 2163930\n",
+    "for n in range(5, 11):\n",
+    "    fp = ForbiddenPermutation(n, 5)\n",
+    "    tls = fp.init_tls()\n",
+    "    for tl in tls:\n",
+    "        tls = fp.assign_laws(tls, tl.tuple, [[3, 5, 2, 4, 1]])\n",
+    "    print(fp.size(tls))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "e033eb68",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.9.5"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}