A073363 Nested floor product of n and fractions (k+1)/k for all k>0 (mod 6), divided by 6.

1, 7, 28, 84, 175, 421, 847, 1288, 1939, 3780, 5656, 9247, 15148, 22099, 25375, 39676, 54607, 75208, 90559, 129360, 166321, 209832, 240268, 320719, 399595, 536956, 672672, 816733, 906444, 1115275, 1321741, 1595832, 1908088, 2323944

Offset

1,2

Comments

When is a(n) not divisible by 7?

Links

Table of n, a(n) for n=1..34.

Formula

a(n)=(1/6)[...[[[[[[n(2/1)](3/2)](4/3)](5/4)](6/5)](8/7]...(k+1)/k]..., k>0 (mod 6), where [x] = floor of x; this infinite nested floor product will eventually level-off at a(n).

Example

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

Crossrefs

Cf. A073359, A073360, A073361, A073362.

Sequence in context: A352900 A163705 A162595 * A247608 A341136 A166322

Adjacent sequences: A073360 A073361 A073362 * A073364 A073365 A073366

Keyword

easy,nonn

Author

Paul D. Hanna, Jul 29 2002

Status

approved