A333474 - OEIS

A333474

Numbers k such that 2^k + 1 is divisible by the sum of its decimal digits.

0, 1, 2, 3, 9, 98, 135, 200, 665, 1782, 4230, 4521, 6815, 17010, 19635, 30338, 31365, 35427, 49555, 96619, 102897, 157850, 193734, 273050, 393225, 449217, 477333, 483310, 493350, 534465, 661815, 918918, 947925, 1050858, 1114690, 1134945, 1204686, 1350990, 1428105

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Numbers k such that A000051(k) is in A005349.

LINKS

Table of n, a(n) for n=1..39.

EXAMPLE

9 is in the sequence, because 2^9 + 1 = 513 is divisible by 5 + 1 + 3.

PROG

(Python)

print([i for i in range(5000) if (2**i+1)%sum([int(i) for i in str(2**i+1)]) == 0])