A071337 Product of terms of continued fraction expansion of (3/2)^n.

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

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

Alois P. Heinz, Table of n, a(n) for n = 1..1000

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

Adjacent sequences: A071334 A071335 A071336 * A071338 A071339 A071340

Keyword

nonn

Author

Paul D. Hanna, Jun 11 2002

Status

approved