A364615 Numbers k such that the average of the decimal digits of 2^k is closer to 9/2 (the expected average for random digits) than for any smaller power of 2.
0, 1, 2, 8, 14, 20, 29, 47, 62, 80, 113, 134, 182, 206, 281, 287, 299, 326, 419, 500, 560, 620, 638, 674, 833, 911, 1271, 1289, 1376, 1418, 1583, 1670, 1814, 2273, 2753, 3365, 3794, 4127, 4160, 4202, 4280, 4292, 4538, 4553, 4646, 4805, 4952, 4979, 5105, 5276
Offset: 1
Examples
k | 2^k | average of digits | distance from 9/2 | new minimum? ---+-------+-------------------+-------------------+------------- 0 | 1 | 1 | 7/2 | yes 1 | 2 | 2 | 5/2 | yes 2 | 4 | 4 | 1/2 | yes 3 | 8 | 8 | 7/2 | 4 | 16 | 7/2 | 1 | 5 | 32 | 5/2 | 2 | 6 | 64 | 5 | 1/2 | 7 | 128 | 11/3 | 5/6 | 8 | 256 | 13/3 | 1/6 | yes 9 | 512 | 8/3 | 11/6 | 10 | 1024 | 7/4 | 11/4 | 11 | 2048 | 7/2 | 1 | 12 | 4096 | 19/4 | 1/4 | 13 | 8192 | 5 | 1/2 | 14 | 16384 | 22/5 | 1/10 | yes
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