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series resembling the going forward of a lion who goes forward envisaging at every further step, again his previous step. Sprica's instructions in the commentary to arrange the mathematical series of this penance are as under:-737= 1 full fast-day (See Notes on Tulant) 33=2 full fast days. Considering thus, we have to arrange the series. First arrange from 1 to 9 in regular order on one side; then arrange from 9 to 1 in regular descending order. [1-9 Series on one side=45 days; 9-1 series on the other 45 days] Then insert after 2 in 1-9, after each number thereof, each number of another series 1-8 [ 1-8 series =36 days ] Then insert in the same way each number of the other descending series of 7-1 series after each number of the series 9–1 [Thus 7-1 series=28 days). Thus the series will be 1, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, 7, 6. 8, 7, 9, 8,] [9, 7, 8, 6, 7, 5, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1=154 days + 33 qrupa days = 187 days in all.
Barnett in his calculation does not consider the more days. He counts only fasting-days calculating Hope = 2 full fast-days, as he did in the calculation of the penance-days in remuant and arranges the series 2, 3, 2, 4, 3, 5, 4, 6, 5, 7, 6, 8, 7, 9, 8, 10, 9, 10, 8, 9, 7, 8, 6, 7, 5,