וְלֹ֣א אָבָ֗ה סִיחֹן֙ מֶ֣לֶךְ חֶשְׁבּ֔וֹן הַעֲבִרֵ֖נוּ בּ֑וֹ כִּֽי־הִקְשָׁה֩ יְהוָ֨ה אֱלֹהֶ֜יךָ אֶת־רוּח֗וֹ וְאִמֵּץ֙ אֶת־לְבָב֔וֹ לְמַ֛עַן תִּתּ֥וֹ בְיָדְךָ֖ כַּיּ֥וֹם הַזֶּֽה׃ (ס)
Mais Sihôn, roi de Hesbon, ne voulut pas nous livrer passage; car l’Éternel, ton Dieu, avait raidi son esprit et endurci son cœur, pour le faire tomber en ton pouvoir, comme aujourd’hui.
Akeidat Yitzchak
Shemot Rabbah 7 states that G-d revealed the course of events to Moses so that the latter would not be dumbfounded by the apparently counterproductive results of his mission to Pharaoh. Even so, Moses was appalled, asking G-d: "Why have You caused things to get worse since I have come to Pharaoh?" This is what Solomon meant in Kohelet 7,7, "Oppression causes the wise to become foolish." Even a Moses can become confused in his faith when confronted by excessive oppression and apparent injustice. At any rate, G-d ascribes Pharaoh's obstinacy to Pharaoh himself, not to Divine interference. Maimonides's reason for Sichon King of the Emorites having been denied the exercise of free will when he denied the Israelites passage through his country seems inadequate. Why was his sin worse than that of the kings of Edom and Moab who did not have their freedom of choice interfered with according to Maimonides (compare Deuteronomy 2,30)? Most difficult however, is the thought frequently expressed in scriptures that the gates of repentance are never closed (Jeremiah 3, Psalms 25, to quote but a few).
Akeidat Yitzchak
The observation about G-d having hardened the spirit of Sichon King of the Emorites, which was referred to earlier, is to be understood in a similar vein. Sichon, who had observed that Israel seemed to have avoided battling the Moabites or the Edomites and had detoured around their respective countries, concluded that Israel's motive had been fear. Thus he felt encouraged to assume a militant posture. This resulted in his defeat and the conquest of his lands by the Israelites. But there had been no interference with his freedom of choice.
Akeidat Yitzchak
The answer to question number one is the fact that Sichon would interpret Moses' offer as a sign of weakness, not as a desire to avoid blodshed. By allowing Moses leeway, G'd succeeded in having Sichon adopt a more arrogant posture. This is why he deserved to be punished. Having observed that Israel had preferred not to fight Edom or Moav, Sichon felt sure he could get away with his refusal. Og, on the other hand, was so sure of himself that he did not have to be provoked into assuming a hostile posture. For that reason, Moses needed to be reassured so that he would not worry about Og's self assurance or about his many prior military successes.