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A072134
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Second generation sequence in which each number is skipped that can be written as sum of distinct previous entries. To make the first generation we start with all natural numbers: this gives the powers of 2 (A000079). For the second generation we start with the natural numbers from which are removed the numbers of the first generation.
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3, 5, 6, 7, 17, 19, 53, 55, 161, 163, 485, 487, 1457, 1459, 4373, 4375, 13121, 13123, 39365, 39367, 118097, 118099, 354293, 354295, 1062881, 1062883, 3188645, 3188647, 9565937, 9565939, 28697813, 28697815, 86093441, 86093443, 258280325
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| a_n is the union of {3, 6}; the numbers {v_n} where v_0 = 5, v_n=3*v_{n-1}+2; and the numbers u_n = 2 + v_n.
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EXAMPLE
| 14 is not in the sequence because 14 = 3+5+6. 4 is not in the sequence because it is in A000079.
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CROSSREFS
| Sequence in context: A154535 A006754 A163620 * A179220 A145736 A188195
Adjacent sequences: A072131 A072132 A072133 * A072135 A072136 A072137
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KEYWORD
| nonn
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AUTHOR
| Floor van Lamoen (fvlamoen(AT)hotmail.com), Jun 26 2002
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