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A073361 Nested floor product of n and fractions (k+1)/k for all k>0 (mod 4), divided by 4. 3
1, 5, 15, 31, 65, 105, 151, 275, 420, 631, 695, 1050, 1411, 1685, 2385, 2941, 3425, 4410, 5326, 6995, 7350, 9316, 10880 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 22 06:01 EDT 2021. Contains 347605 sequences. (Running on oeis4.)