; motzkin numbers
(define (a001006 k) ; first k terms
(let loop ((a 0) (b 1) (n 1) (k k) (ms (list)))
(if (zero? k) (reverse ms)
(let* ((ms (cons (/ b n) ms))
(n (+ n 1))
(c (/ (+ (* 3 (- n 1) n a)
(* (+ n n -1) n b))
(* (+ n 1) (- n 1)))))
(loop b c n (- k 1) ms)))))
(display (a001006 20)) (newline)
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