A117704 - OEIS

A117704

Least refined sequence that can be grouped to sum to either natural numbers or odd numbers.

1, 2, 1, 2, 3, 1, 5, 1, 5, 4, 3, 8, 9, 4, 6, 9, 2, 12, 3, 10, 9, 5, 15, 1, 15, 8, 9, 16, 2, 19, 6, 14, 15, 6, 22, 3, 20, 13, 11, 24, 1, 26, 10, 17, 22, 6, 29, 6, 24, 19, 12, 32, 1, 32, 15, 19, 30, 5, 36, 10, 27, 26, 12, 39, 4, 36, 21, 20, 39, 3, 43, 15, 29, 34, 11, 46, 8, 39, 28, 20, 49, 50

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

In other words, least common refinement of the natural numbers and the odd numbers.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A005214(n) - A005214(n-1).

EXAMPLE

As natural numbers: 1,2,1+2,3+1,5,1+5,4+3,8,...

As odd numbers: 1,2+1,2+3,1+5+1,5+4,3+8,...