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

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,...

Prog

(Haskell)
a117704 n = a117704_list !! (n-1)
a117704_list = 1 : zipWith (-) (tail a005214_list) a005214_list
-- Reinhard Zumkeller, Aug 03 2011

Crossrefs

Cf. A118382, A005214, A000027, A005408.

Sequence in context: A224653 A101391 A327632 * A078032 A162453 A008313

Adjacent sequences: A117701 A117702 A117703 * A117705 A117706 A117707

Keyword

nonn,easy

Author

Franklin T. Adams-Watters, Apr 27 2006

Status

approved