A175793 Excess of the number of even over the number of odd digits in the first n digits of the decimal expansion of E.

1, 0, -1, 0, 1, 2, 1, 2, 3, 4, 5, 4, 3, 4, 5, 4, 5, 4, 3, 2, 3, 4, 5, 6, 5, 6, 5, 4, 3, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 3, 4, 3, 4, 3, 2, 3, 2, 1, 0, -1, -2, -3, -4, -3, -4, -3, -2, -3, -2, -3, -2, -1, -2, -3, -2, -1, 0, -1, 0, 1, 0, 1, 0, -1, -2, -3, -2, -3, -4, -5, -4, -5, -6, -7, -8, -7, -6

Offset

1,6

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

a(n) = Sum_{k=1..n} (-1)^A001113(k).

Example

a(6) = (-1)^2 + (-1)^7 + (-1)^1 + (-1)^8 + (-1)^2 + (-1)^8  =2.

Maple

Digits := 100:
A001113 := proc(n)
        floor(exp(1)*10^(n-1)) mod 10;
end proc:
A175793 := proc(n)
        add((-1)^A001113(k), k=1..n) ;
end proc: # R. J. Mathar, Jul 10 2012

Mathematica

Rest@ FoldList[ Plus, 0, (-1)^First@ RealDigits[E, 10, 200]]
Accumulate[If[EvenQ[#], 1, -1]&/@RealDigits[E, 10, 90][[1]]] (* Harvey P. Dale, Sep 09 2014 *)

Crossrefs

Cf. A001113, A071981.

Sequence in context: A167516 A125931 A125932 * A244789 A309932 A363968

Adjacent sequences: A175790 A175791 A175792 * A175794 A175795 A175796

Keyword

base,sign

Author

Michel Lagneau, Sep 06 2010

Status

approved