Here’s a half-hour yoga sequence specifically designed to help strengthen the lower back:

1. Child’s Pose (Balasana): Start the sequence with Child’s Pose to center yourself and gently stretch the lower back. Kneel on the mat, sitting back on your heels, and fold forward, extending your arms in front of you. Relax your forehead to the mat and take slow, deep breaths. Stay in this pose for 3-5 breaths.
2. Cat-Cow Pose: Come onto your hands and knees, aligning your wrists under your shoulders and your knees under your hips. As you inhale, lift your tailbone and arch your back, moving into Cow Pose. On the exhale, round your spine, tuck your chin to your chest, and move into Cat Pose. Repeat this flowing movement for 5-7 rounds, coordinating each breath with the movement.
3. Downward Facing Dog (Adho Mukha Svanasana): From Cat-Cow Pose, tuck your toes and lift your hips up and back, coming into an inverted V shape. Keep your arms shoulder-width apart and your feet hip-width apart. Press your hands into the mat, lengthen your spine, and engage your lower abdominals. Hold this pose for 5 breaths, focusing on lengthening your spine and stretching your hamstrings.
4. Sphinx Pose (Salamba Bhujangasana): Lie on your belly, place your forearms on the mat parallel to each other, and lift your chest off the ground. Keep your elbows directly under your shoulders, press the tops of your feet into the mat, and gently draw your shoulder blades back. Hold this pose for 3-5 breaths, feeling the gentle stretch in your lower back.
5. Locust Pose (Salabhasana): From Sphinx Pose, lower your upper body back down, stretch your arms alongside your body, and place your forehead on the mat. As you inhale, lift your chest, legs, and arms off the ground simultaneously. Engage your glutes and lengthen your spine. Hold this pose for 3-5 breaths and then release back down.
6. Bridge Pose (Setu Bandhasana): Lie on your back with your knees bent and feet hip-width apart. Press your feet into the mat, engage your glutes, and lift your hips up, coming into Bridge Pose. Interlace your fingers underneath your body and roll your shoulders underneath you, creating space in the chest. Hold for 5 breaths, actively squeezing your glutes, and then slowly release your spine back down.
7. Supine Knee-to-Chest Pose (Apanasana): Lie on your back and draw your knees towards your chest. Wrap your arms around your shins or hold onto your knees. Gently rock side to side, massaging your lower back. Stay in this pose for 5 breaths, feeling the release in your lower back.
8. Corpse Pose (Savasana): End the sequence with a relaxation pose. Lie flat on your back, legs comfortably apart, and arms relaxed by your sides, palms facing up. Close your eyes and allow your entire body to relax. Stay in Savasana for 5-10 minutes, focusing on deep, calming breaths.

Remember to listen to your body and modify any pose if needed. Regular practice of this sequence can help strengthen your lower back muscles and improve overall stability. Enjoy your yoga practice!