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

1,2

Links

Table of n, a(n) for n=1..23.

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).

Example

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.

Sequence in context: A346823 A037984 A298032 * A155013 A134887 A228599

Adjacent sequences: A073358 A073359 A073360 * A073362 A073363 A073364

Keyword

easy,nonn

Author

Paul D. Hanna, Jul 29 2002

Status

approved