A228710 Characteristic function of numbers with alternating parities of their digits in decimal representation.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1

Offset

0

Comments

a(A030141(n)) = 1; a(A228709(n)) = 0;

Links

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Index entries for characteristic functions

Formula

For n > 9: a(n) * a(n+1) = 0 and 0 <= a(n) + a(n+1) <= 1.

Prog

(Haskell)
a228710 n = fromEnum $ f (n `div` 10) (n `mod` 2) where
   f x p = x == 0 || (x `mod` 2) /= p && f (x `div` 10) (1 - p)

Crossrefs

Sequence in context: A014152 A014295 A344884 * A103447 A354923 A354924

Adjacent sequences: A228707 A228708 A228709 * A228711 A228712 A228713

Keyword

nonn,base

Author

Reinhard Zumkeller, Aug 31 2013

Status

approved