2

Part of 2013 IMAR Test

Problems(1)

Sum of digits of the powers of 2 !

Source: IMAR Test 2013 Problem 2

For every non-negative integer

n

s_n

be the sum of digits in the decimal expansion of

2^n

. Is the sequence

(s_n)_{n \in \mathbb{N}}

eventually increasing ?

powersdigit sumSequencenumber theory