Examples of Sequences That Show a List of the Powers of a Number

9/10/2015

Sequence Numbers:

Sequences That Show a List of the Powers of a Number

By David Brooks

Powers of Two (20, 21, 22, 23, etc.) Our Sequence Number is 999,998 1/999998 = 0. 000001  000002  000004  000008 000016  000032  000064  000128  000256  000512  001024  002048  …

Powers of Three (30, 31, 32, 33, etc.) The Sequence Number is 999,997 1/999997 = 0. 000001  000003  000009  000027  000081  000243  000729  002187  006561  019683  059049  177147  …

Powers of Four (40, 41, 42, 43, etc.) The Sequence Number is 999.999,996 1/999999996 = 0. 000000001  000000004  000000016  000000064  000000256  000001024  000004096  000016384  000065536  000262144  001048576  004194304  …

Powers of Five (50, 51, 52, 53, etc.) The sequence number is 999,999,995 1/999999995 = 0. 000000001  000000005  000000025  000000125  000000625  000003125  000015625  000078125  000390625  …

Powers of Six (60, 61, 62, 63, etc.) The Sequence Number is 999,999,994 1/999999994 = 0. 000000001  000000006  000000036  000000216  000001296  000007776  000046656  000279936 001679616  …

Powers of 7 (70, 71, 72, 73, etc.) The Sequence Number is 999,999,993 1/999999993 = 0. 000000001  000000007  000000049  000000343  000002401  000016807  000117649  000823543  005764801  040353607  …

Powers of Eight (80, 81, 82, 83, etc.) The Sequence Number is 999999992. 1/999999992 = 0. 000000001  000000008  000000064  000000512  000004096  000032768  000262144  002097152  016777216  134217729  …

Powers of 9 (90, 91, 92, 93, etc.) The Sequence Number is 999,999,999,991. 1/999999999991 = 0. 000000000001  000000000009  000000000081  000000000729  000000006561  000000059049  000000531441  000004782969  …

Powers of 13. The Sequence Number is: 999,999,999,987 1/9999999999987 = 0. 000000000001  000000000013  000000000169  000000002197  000000028561  000000371293  000004826809  000062748517  000815730721  010604499373  …

Powers of 17 (170, 171, 172, 173, etc.) The Sequence Number is 999,999,999,999,983 1/999999999999983 = 0. 000000000000001  000000000000017  000000000000289  000000000004913  000000000083521  000000001419857  000000024137569  000000410338673  000006975757441  000118587876497  002015993900449  034271896307633  …

New for 2016!!!  Powers of 2016 (20160, 20161, 20162, etc.) The Sequence Number is 999,999,999,999,997,984. 1/999999999999997984 = 0. 000000000000000000000001  000000000000000000002016  000000000000000004064256  000000000000008193540096  000000000016518176833536  000000033300644496408576  000067134099304759689216  …

David