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 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 (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 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) = 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: A328230 A229131 A359050 * 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 May 21 19:35 EDT 2024. Contains 372738 sequences. (Running on oeis4.)