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A244923 Numbers n such that the digit sum of Fibonacci(n) is equal to the digit sum of Lucas(n). 1
1, 13, 61, 73, 97, 217, 349, 649, 937, 1477, 1513, 1729, 2005, 2077, 2209, 3265, 3649, 3889, 4093, 4609, 4945, 5497, 5749, 5929, 6109, 7309, 7441, 8041, 8389, 8821, 9925, 10525, 10669, 11605, 13201, 13345, 16021, 18529, 18649, 20293, 21481, 22573, 22729, 24169 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that A004090(n) = A139374(n).

Subsequence of A017533.

It seems that n is odd. The primes of the sequence are: 13, 61, 73, 97, 349, 937, 3889, 4093, 5749, 7309, 8389, 8821, 21481, 22573, 24169, ...

Fibonacci(j) == Lucas(j) (mod 9) iff j == 1 (mod 12), so all a(n) == 1 (mod 12). - Robert Israel, Jul 10 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..95

EXAMPLE

13 is in the sequence because Fibonacci(13) = 233, Lucas(13) = 521 and 2+3+3 = 5+2+1 = 8.

MATHEMATICA

lst={}; Table[If[Total[IntegerDigits[LucasL[n]]] == Total[IntegerDigits[Fibonacci[n]]], AppendTo[lst, n]], {n, 0, 25000}]; lst

CROSSREFS

Cf. A000032, A000045, A004090, A017533, A139374.

Sequence in context: A304542 A228558 A316550 * A146764 A336794 A145474

Adjacent sequences:  A244920 A244921 A244922 * A244924 A244925 A244926

KEYWORD

nonn,base

AUTHOR

Michel Lagneau, Jul 08 2014

STATUS

approved

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Last modified May 16 15:55 EDT 2021. Contains 343949 sequences. (Running on oeis4.)