A073361 Nested floor product of n and fractions (k+1)/k for all k>0 (mod 4), divided by 4.

1, 5, 15, 31, 65, 105, 151, 275, 420, 631, 695, 1050, 1411, 1685, 2385, 2941, 3425, 4410, 5326, 6995, 7350, 9316, 10880

Offset: 1

Author

Paul D. Hanna, Jul 29 2002

Keywords

• easy
• nonn

Examples

			a(1)=1 since (1/4)[[[[1(2/1)](3/2)](4/3)](6/5)]=(1/4)[4(6/5)]=1
		

Crossrefs

Cf. A073359, A073360.

Formula

a(n)=(1/3)[...[[[[n(2/1)](3/2)](4/3)](6/5)]...(k+1)/k]..., k>0 (mod 4), where [x] = floor of x; this infinite nested floor product will eventually level-off at a(n).