Pyramidal tile cache cheat sheet

This table lists the number of total tiles for increasing zoom-level in a tile cache. The tile cache is assumed to be pyramidal: \left|z_{i}\right| = n \Rightarrow \left|z_{i+1}\right| = n \dot 4.

level 1: 1 tile
level 2: 5 tiles
level 3: 21 tiles
level 4: 85 tiles
level 5: 341 tiles
level 6: 1,365 tiles
level 7: 5,461 tiles
level 8: 21,845 tiles
level 9: 87,381 tiles
level 10: 349,525 tiles
level 11: 1,398,101 tiles
level 12: 5,592,405 tiles
level 13: 22,369,621 tiles
level 14: 89,478,485 tiles
level 15: 357,913,941 tiles
level 16: 1,431,655,765 tiles
level 17: 5,726,623,061 tiles
level 18: 22,906,492,245 tiles
level 19: 91,625,968,981 tiles
level 20: 366,503,875,925 tiles
level 21: 1,466,015,503,701 tiles

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