login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A280185 a(n) = n - A004090(n), where A004090 is the sum of digits of the Fibonacci numbers A000045. 1
0, 0, 1, 1, 1, 0, -2, 3, 5, 2, 0, -6, 3, 5, -3, 8, -8, -5, -1, 5, -4, 1, 5, -5, -3, 6, 7, -2, 7, 6, 13, 0, 2, -1, -3, 0, 9, 2, -6, -4, 16, 10, -4, 2, 11, 16, 11, 10, -6, -6, 4, 22, 4, 12, 1, -3, 8, 5, -15, 15, 6, 8, 0, 2, 13, -2, -7, 8, 17, 4, 8, 25, 0, 9, -8, 10, 10, -9, -2, 21, -4, 2, 18, -15, 12, -4, 6, -10, 19, -5, 17, 23, 14, 28, 5, 4, 6, -3, 16, -2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

COMMENTS

Conjectured to increase to infinity. It appears that the slope of A004090(n) is roughly 0.93, at least in the range 0..10^5.

I conjecture that this sequence takes its minimum at a(2619) = -92. - M. F. Hasler, Dec 30 2016

LINKS

M. F. Hasler, Table of n, a(n) for n = 0..100000

FORMULA

a(n) = n - A004090(n) =  n - A007953(A000045(n)).

EXAMPLE

a(2) = a(3) = 1 because A000045(2) = 1 = A004090(2), its digital sum, A000045(3) = 2 = A004090(3), and 2 - 1 = 3 - 2 = 1.

MATHEMATICA

Table[n - Total@ IntegerDigits@ Fibonacci@ n, {n, 0, 99}] (* Michael De Vlieger, Dec 28 2016 *)

PROG

(PARI) A280185(n)=n-sumdigits(fibonacci(n))

/* To produce the b-file; can be used for searches or similar purpose, this is faster than to compute fib(n) anew for each term. */

b=-a=1; for(n=0, 1e5, write("/tmp/A280185.txt", n" ", n-sumdigits(a=b+b=a)))

CROSSREFS

Cf. A000045 (Fibonacci numbers), A004090 (their digital sums), A278834 & A278833 (record values of this sequence and corresponding indices), A264935.

Sequence in context: A069111 A171035 A094122 * A082117 A269701 A011157

Adjacent sequences:  A280182 A280183 A280184 * A280186 A280187 A280188

KEYWORD

sign,base

AUTHOR

M. F. Hasler, Dec 28 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 03:00 EST 2019. Contains 329836 sequences. (Running on oeis4.)