A369870 Cumulative sum of digits of base-2 representation of Euler number "e".

1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 15, 16, 16, 16, 16, 17, 17, 18, 18, 18, 18, 19, 19, 20, 20, 21, 22, 23, 23, 24, 25, 25, 26, 26, 26, 27, 27, 28, 28, 29, 29, 29, 30, 31, 31, 32, 32, 33, 33, 34, 34

Offset

1,3

Links

Table of n, a(n) for n=1..68.

Example

Euler's number e = 2.71828... = binary 1,0,1,0,1,1,0,1,1,... and partial sums those are 1,1,2,2,3,4,4,5,6,,...

Mathematica

Accumulate[First[RealDigits[E, 2, 68]]] (* James C. McMahon, Feb 04 2024 *)

Crossrefs

Partial sums of A004593 (e in binary).

Cf. A001113 (e in decimal), A302342 (sum of bits of Pi).

Sequence in context: A051068 A050294 A349775 * A097950 A011885 A211524

Adjacent sequences: A369867 A369868 A369869 * A369871 A369872 A369873

Keyword

nonn

Author

James S. DeArmon, Feb 03 2024

Status

approved