A329493 (Sum of digits of (2^n - 11)) - n.

1, -2, 2, 2, 3, -3, -5, 1, 5, 5, 6, 9, 7, -5, -1, 8, 9, 3, 10, 25, 11, 2, 12, 6, 13, 10, 5, 14, 24, 27, 25, 22, 26, 17, 27, 30, 19, 7, 11, 20, 12, 15, 22, 19, 23, 14, 24, 27, 25, 22, 26, 35, 27, 21, 10, 16, 20, 11, 30, 33, 22, 19, 41, 41, 33, 18, -2, 13, 35, 35, 54, 48, 28, 25, 20, 29, 30

Offset: 4

Author

N. J. A. Sloane, Nov 16 2019

Keywords

• sign
• base

Comments

Is this ever zero? If not, this would prove that A329492(11) = -1, and that A328882 is never -11. (-11 is the first negative open case.)

Links

• Robert Israel, Table of n, a(n) for n = 4..10000

Crossrefs

Cf. A328882, A329002, A329492.

Programs

Maple

f:= proc(n) convert(convert(2^n-11,base,10),`+`)-n end proc:
map(f, [$4..100]); # Robert Israel, Nov 17 2019

Mathematica

Table[Total[IntegerDigits[2^n-11]]-n,{n,4,90}] (* Harvey P. Dale, Oct 13 2024 *)