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 A263578 Positive values of k such that A014286(k) is divisible by k. 0
 1, 3, 18, 24, 42, 48, 72, 96, 120, 138, 144, 192, 216, 240, 258, 264, 282, 288, 336, 360, 384, 402, 432, 480, 498, 576, 600, 618, 642, 648, 672, 714, 720, 744, 762, 768, 864, 912, 960, 978, 1002, 1008, 1080, 1104, 1152, 1200, 1224, 1296, 1320, 1338, 1344, 1362 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Sequence is interesting because of the values of a(n) - a(n-1). For a(n) < 10000, the most common repeated values of a(n) - a(n-1) are 24 and 6. Will this situation continue? LINKS Table of n, a(n) for n=1..52. EXAMPLE a(2) = 3 because Fibonacci(1) + 2 * Fibonacci(2) + 3 * Fibonacci(3) = 9, which is divisible by 3. MATHEMATICA Select[Range@ 1584, Divisible[Sum[i Fibonacci@ i, {i, 0, #}], #] &] (* Michael De Vlieger, Oct 22 2015 *) PROG (PARI) for(n=1, 2000, if(sum(k=1, n, k*fibonacci(k)) % n == 0, print1(n, ", "))) CROSSREFS Cf. A000045, A014286. Sequence in context: A103715 A131860 A346421 * A048080 A306279 A169598 Adjacent sequences: A263575 A263576 A263577 * A263579 A263580 A263581 KEYWORD nonn,easy AUTHOR Altug Alkan, Oct 22 2015 STATUS approved

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Last modified February 28 06:43 EST 2024. Contains 370387 sequences. (Running on oeis4.)