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A272631 Sum of three or more consecutive Fibonacci numbers. 0
2, 4, 6, 7, 10, 11, 12, 16, 18, 19, 20, 26, 29, 31, 32, 33, 42, 47, 50, 52, 53, 54, 68, 76, 81, 84, 86, 87, 88, 110, 123, 131, 136, 139, 141, 142, 143, 178, 199, 212, 220, 225, 228, 230, 231, 232, 288, 322, 343, 356, 364, 369, 372, 374, 375, 376, 466, 521, 555, 576 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Except the first term that is 2, this sequence lists non-Fibonacci numbers (A001690) that are the difference of two Fibonacci numbers. So 2 is the only Fibonacci number in this sequence.

Since the sum of two consecutive Fibonacci numbers is obviously a Fibonacci number because of the definition of Fibonacci numbers, this sequence focuses on the sum of three or more consecutive Fibonacci numbers.

LINKS

Table of n, a(n) for n=1..60.

EXAMPLE

4 is a term because Fibonacci(1) + Fibonacci(2) + Fibonacci(3) = 1 + 1 + 2 = 4.

MATHEMATICA

mx=10^4; i=1; Union@ Reap[ While[(s = Plus @@ Fibonacci[i + {0, 1, 2}]) <= mx, j = ++i + 1; While[s <= mx, Sow@s; s += Fibonacci@ ++j]]][[2, 1]] (* Giovanni Resta, May 04 2016 *)

CROSSREFS

Cf. A000045, A001690, A007298.

Sequence in context: A050095 A102528 A319829 * A002158 A274431 A236477

Adjacent sequences:  A272628 A272629 A272630 * A272632 A272633 A272634

KEYWORD

nonn

AUTHOR

Altug Alkan, May 04 2016

STATUS

approved

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Last modified April 24 12:01 EDT 2019. Contains 322429 sequences. (Running on oeis4.)