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Search: id:A164921
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| A164921 |
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a(1)=0, a(2)=1. For n >=3, a(n) = the smallest integer > a(n-1) that is coprime to every sum of any two distinct earlier terms of this sequence. |
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3
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| 0, 1, 2, 5, 11, 17, 23, 29, 37, 41, 47, 53, 59, 67, 71, 79, 83, 89, 97, 101, 107, 113, 127, 131, 137, 149, 157, 163, 167, 173, 179, 191, 197, 211, 223, 227, 233, 239, 251, 257, 263, 269, 277, 281, 293, 307, 311, 317, 331, 337, 347, 353, 359, 367, 373, 379, 383
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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The first 4 terms are 0,1,2,5. The sums of every pair of distinct terms are: 0+1=1, 0+2=2, 1+2=3, 0+5=5, 1+5=6, and 2+5=7. So, we are looking for the smallest integer >5 that is coprime to 1, 2, 3, 5, 6, and 7. This number, which is a(5), is 11.
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CROSSREFS
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A164901, A164922, A164923
Sequence in context: A140559 A067775 A138644 this_sequence A156830 A140556 A003627
Adjacent sequences: A164918 A164919 A164920 this_sequence A164922 A164923 A164924
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Aug 31 2009
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EXTENSIONS
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More terms. Sean A. Irvine (sairvin(AT)xtra.co.nz), Sep 15 2009
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