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A071337 Product of terms of continued fraction expansion of (3/2)^n. 2
2, 4, 4, 16, 12, 12, 33, 12, 120, 134, 1818, 1728, 192, 9464, 9792, 5400, 46080, 62464, 252000, 66528, 16128, 182400, 631104, 4104000, 11289600, 10368000, 6002304, 48117888, 305910000, 39280640, 5686200, 152409600, 1866240, 233625600 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
What is the rate of growth of this sequence?
REFERENCES
S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 192-199.
LINKS
Steven R. Finch, Powers of 3/2 Modulo One [From Steven Finch, Apr 20 2019]
Steven R. Finch, Non-Ideal Waring's Problem [From Steven Finch, Apr 20 2019]
Jeff Lagarias, 3x+1 Problem
EXAMPLE
a(3) = 4 since frac((3/2)^3) = [0;2,1,2] and a(3) = 2 * 1 * 2.
PROG
(PARI) a(n) = {cf = contfrac((3/2)^n); return (prod(i=2, #cf, cf[i])); } \\ Michel Marcus, Aug 01 2013
CROSSREFS
Cf. A002379.
Sequence in context: A117291 A246047 A079102 * A087481 A038210 A244640
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jun 11 2002
STATUS
approved

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Last modified March 28 10:31 EDT 2024. Contains 371240 sequences. (Running on oeis4.)