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 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

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