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 A270312 Numerator of Fibonacci(n)/n. 1
 1, 1, 2, 3, 1, 4, 13, 21, 34, 11, 89, 12, 233, 377, 122, 987, 1597, 1292, 4181, 1353, 10946, 17711, 28657, 1932, 3001, 121393, 196418, 317811, 514229, 83204, 1346269, 2178309, 3524578, 5702887, 1845493, 414732, 24157817, 39088169, 63245986, 20466831, 165580141 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS The fractions are an autosequence of the second kind. See the link. Array of fractions and successive differences: 1, 1/2, 2/3, 3/4, 1, ... -1/2, 1/6, 1/12, 1/4, 1/3, ... 2 /3, -1/12, 1/6, 1/12, 4/21, ... -3/4, 1/4, -1/12, 3/28, 3/56, ... 1, -1/3, 4/21, -3/56, 11/126, ... ... The sequence of fractions being an autosequence, it can be noticed that first column, which is the inverse binomial transform of first row, is identical to the sequence, up to alternating signs. In addition, main diagonal is twice the first upper diagonal (autosequence of the second kind). LINKS Table of n, a(n) for n=1..41. OEIS Wiki, Autosequence Wikipedia, Autosuite de nombres (in French). EXAMPLE Fractions begin: 1, 1/2, 2/3, 3/4, 1, 4/3, 13/7, 21/8, 34/9, 11/2, 89/11, 12, ... MATHEMATICA Table[Fibonacci[n]/n, {n, 1, 50}] // Numerator PROG (PARI) a(n) = numerator(fibonacci(n)/n); \\ Michel Marcus, Mar 15 2016 CROSSREFS Cf. A000045, A023172, A127787, A270313 (denominators). Sequence in context: A104694 A125182 A318685 * A169625 A264794 A264704 Adjacent sequences: A270309 A270310 A270311 * A270313 A270314 A270315 KEYWORD nonn,frac AUTHOR Jean-François Alcover and Paul Curtz, Mar 15 2016 STATUS approved

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Last modified July 21 14:09 EDT 2024. Contains 374474 sequences. (Running on oeis4.)