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A071316 Sum of terms of continued fraction expansion of (3/2)^n. 2
2, 4, 5, 16, 10, 10, 17, 13, 20, 74, 113, 32, 25, 76, 55, 31, 44, 86, 74, 46, 42, 100, 402, 115, 63, 71, 104, 143, 489, 346, 96, 78, 68, 87, 167, 196, 116, 95, 76, 123, 109, 108, 141, 176, 141, 133, 260, 1038, 4748, 5731, 1162, 285, 189, 248, 478, 399, 163, 154 (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

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

S. R. Finch, Powers of 3/2

Jeff Lagarias, 3x+1 Problem

EXAMPLE

a(3) = 5 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 (sum(i=2, #cf, cf[i])); } \\ Michel Marcus, Aug 01 2013

CROSSREFS

Cf. A002379.

Sequence in context: A002959 A178436 A229131 * A056401 A056406 A250545

Adjacent sequences:  A071313 A071314 A071315 * A071317 A071318 A071319

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jun 11 2002

STATUS

approved

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Last modified December 9 00:45 EST 2016. Contains 278959 sequences.