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A073362 Nested floor product of n and fractions (k+1)/k for all k>0 (mod 5), divided by 5. 2
1, 6, 19, 48, 109, 234, 355, 552, 1009, 1518, 2371, 3804, 4141, 6342, 8803, 12096, 14389, 18438, 24043, 27720, 36397, 45366, 60499, 75876, 80137, 97566, 114931, 140892, 166321, 205926, 218587, 266664, 292429, 342006, 394651, 477336, 481429 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..37.

FORMULA

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

EXAMPLE

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

MATHEMATICA

f[n_] := Block[{k = 1, p = n}, While[q = Floor[p*(k + 1)/k]; q != p, p = q; k++; If[ Mod[k, 5] == 0, k++ ]]; p/5]; Table[ f[n], {n, 1, 37}] (* Robert G. Wilson v *)

CROSSREFS

Cf. A073359, A073360, A073361.

Sequence in context: A272803 A273028 A273079 * A095264 A269059 A229731

Adjacent sequences:  A073359 A073360 A073361 * A073363 A073364 A073365

KEYWORD

easy,nonn

AUTHOR

Paul D. Hanna, Jul 29 2002

EXTENSIONS

More terms from Robert G. Wilson v, Dec 27 2003

STATUS

approved

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Last modified June 17 19:10 EDT 2019. Contains 324198 sequences. (Running on oeis4.)