A088496 Length of n-th run = n-th partial sum.

1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2

Offset

1,2

Links

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

Formula

Sum_{k=1..n} a(k) = (3/2)*n + o(n).

Example

Partial sums s(n) = Sum_{k=1..n} a(k) are 1,3,5,7,... hence sequence begins 1,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,1. (E.g., third run has length 5 since s(3)=5.)

Crossrefs

Cf. A000002.

Sequence in context: A025454 A327104 A126061 * A036602 A176166 A167911

Adjacent sequences: A088493 A088494 A088495 * A088497 A088498 A088499

Keyword

nonn

Author

Benoit Cloitre, Nov 10 2003

Status

approved