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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: A174029 A103715 A131860 * 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 17 15:32 EST 2020. Contains 331998 sequences. (Running on oeis4.)