A103755 Number of contiguous digits i in the counting numbers, for i=1.

1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1

Offset

1,3

Comments

Write the natural numbers as an infinite sequence of digits, starting at the left; and count the digits of each group of "1"'s you encounter (the smallest "groups" have one "1").

Links

Table of n, a(n) for n=1..105.

Example

a(1)=1: the first "1" of the counting numbers, isolated.
a(2)=1: the second "1", first digit of number 10, isolated.
a(3)=3 two "1"'s of 11 and one "1" of 12 = three "1"'s, the next group of "1"'s.

Crossrefs

Sequence in context: A380782 A361129 A103756 * A355818 A326538 A333844

Adjacent sequences: A103752 A103753 A103754 * A103756 A103757 A103758

Keyword

base,easy,nonn

Author

Alexandre Wajnberg, Mar 28 2005

Status

approved