|
Search: id:A124455
|
|
|
| A124455 |
|
Numbers n such that 24n divides the sum of the first 24n Fibonacci numbers. |
|
+0
2
|
|
| 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 24, 25, 27, 28, 30, 32, 36, 40, 42, 45, 46, 48, 50, 51, 54, 55, 56, 57, 60, 64, 70, 72, 75, 80, 81, 84, 86, 90, 92, 96, 98, 100, 102, 108, 110, 112, 114, 120, 125, 126, 128, 135, 138, 140, 144, 150, 153, 155, 160, 162
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Numbers n such that n divides the sum of the first n Fibonacci numbers are listed in A111035(n) = {1, 2, 24, 48, 72, 77, 96, 120, 144, 192, 216, 240, 288, 319, 323, 336, 360, ...}. Most terms in A111035(n) are the multiples of 24. a(n) coincides with A072378(n) up to 84. The first two different terms are 86 and 164. Prime a(n) are {2, 3, 5, 281, ...}. Numbers n such that n divides the sum of the first n Fibonacci numbers and such that n is not a multiple of 24 are listed in A124456(n) = {1,2,77,319,323,1517,3021,4757,6479,7221,8159,8229,9797,...}.
|
|
MATHEMATICA
|
Select[Range[10000], IntegerQ[ #/24]&&Mod[Fibonacci[ #+2]-1, # ]==0&] /24
|
|
CROSSREFS
|
Cf. A111035, A124456. Cf. A072378 - Numbers n such that 12n divides Fibonacci(12n).
Sequence in context: A068095 A064390 A080671 this_sequence A072378 A112587 A068090
Adjacent sequences: A124452 A124453 A124454 this_sequence A124456 A124457 A124458
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 02 2006
|
|
|
Search completed in 0.002 seconds
|
