

A176746


The Fibonacci sequence (A000045) and the integers that cannot be represented as a sum of two earlier terms in the sequence.


2



0, 1, 1, 2, 3, 5, 8, 12, 13, 19, 21, 28, 34, 43, 50, 54, 55, 61, 65, 72, 79, 89, 96, 103, 112, 118, 128, 135, 142, 144, 159, 174, 181, 188, 204, 210, 219, 226, 233, 237, 251, 257, 266, 290, 296, 310, 314, 334, 341, 356, 366, 373, 377, 383, 397, 412, 419, 450
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OFFSET

0,4


LINKS

Table of n, a(n) for n=0..57.


EXAMPLE

12 is the minimal number which is not a sum of two Fibonacci numbers. Therefore 12 is in the sequence. 13 is included because it is a Fibonacci number. 14 = 12+2 is a sum of two already included terms, so it is omitted. 19 is included as it is not a sum of two of the terms already included, namely 0,1,1,2,3,5,8,12,13.


PROG

(Sage)
def A176746(max) :
....res = [0, 1]
....fib1 = 1; fib2 = 1
....for i in xrange(1, max+1) :
........if i == fib2 :
............res.append(i)
............[fib1, fib2] = [fib2, fib1 + fib2]
............continue
........for t in res :
............if it in res : break
........else : res.append(i)
....return res
end # Eric M. Schmidt, Jan 26 2013


CROSSREFS

Cf. A000045, A176744, A176745.
Sequence in context: A020899 A057987 A243165 * A067288 A308075 A211181
Adjacent sequences: A176743 A176744 A176745 * A176747 A176748 A176749


KEYWORD

nonn


AUTHOR

Vladimir Shevelev, Apr 25 2010


EXTENSIONS

Sequence extended, definition and example rewritten by Eric M. Schmidt, Jan 26 2013


STATUS

approved



