

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
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OFFSET

1,1


COMMENTS

What is the rate of growth of this sequence?


REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 192199.


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



