

A071316


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


3



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



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



KEYWORD

nonn


AUTHOR



STATUS

approved



