A120230 Split-floor-multiplier sequence (SFMS) using multipliers 1/4 and 4. (SFMS is defined at A120229.)

4, 8, 12, 1, 20, 24, 28, 2, 36, 40, 44, 3, 52, 56, 60, 64, 68, 72, 76, 5, 84, 88, 92, 6, 100, 104, 108, 7, 116, 120, 124, 128, 132, 136, 140, 9, 148, 152, 156, 10, 164, 168, 172, 11, 180, 184, 188, 192, 196, 200, 204, 13, 212, 216, 220, 14, 228, 232, 236, 15, 244, 248

Offset: 1

Author

Clark Kimberling, Jun 11 2006

Keywords

• nonn

Comments

Self-inverse permutation of the natural numbers.

Examples

			a(1)=1*4 because [1/4] is not positive.
a(2)=2*4 because [2/4] is not positive.
a(3)=3*4 because [3/4] is not positive.
a(4)=1=[4*(1/4)].
a(5)=5*4 because [5/4]=a(4), not new.
		

Links

• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A073675, A120229, A120230.

Row 4 and column 4 of A059897.

Formula

a(n)=[n/4] if this is positive and new, else a(n)=4n.