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We continue the work of Eriksen, Freij, and Wastlund [3], who studyderangements that descend in blocks of prescribed lengths. We generalize theirwork to derangements that ascend in some blocks and descend in others. Inparticular, we obtain a generating function for the derangements that ascend inblocks of prescribed lengths, thus solving a problem posed in [3]. We also worktowards a combinatorial interpretation of a polynomial sum appearing in [3]. Asa result, we obtain a new combinatorial sum for counting derangements withascending and descending blocks.

Derangements with Ascending and Descending Blocks