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Search: id:A115171
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| A115171 |
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Positive numbers that are not the sum of a triangular number, a square and a positive Fibonacci number. |
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+0
9
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| 3970902, 4851691, 7921800, 39022919, 102132857, 110468517, 368495972, 391099413, 395147912, 421129348, 452808398, 608389509, 667231451, 693386307, 698864465, 776218485, 1005771844, 1335351479, 1336652359, 1485470432
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Comment from Kurt Foster, Jan 20 2009: If one is allowed to use the Fibonacci number zero, then many of these terms disappear. For example, one has 4851691 = 1885^2 + 1611*1612/2 + F_0, 7921800 = 1923^2 + 2906*2907/2 + F_0. See A144642.
Since the number of integers up to B of the form x^2+T_y is about a constant times B/sqrt(log B), heuristics predict that the sequence should be infinite. - Bjorn Poonen, in a posting to the Number Theory List, Dec 22 2008
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CROSSREFS
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Cf. A115172, A115173, A115174, A115175, A115176, A115177, A144642.
Sequence in context: A159825 A036474 A069375 this_sequence A144642 A032753 A047987
Adjacent sequences: A115168 A115169 A115170 this_sequence A115172 A115173 A115174
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KEYWORD
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nonn
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AUTHOR
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Giovanni Resta (g.resta(AT)iit.cnr.it), Jan 15 2006
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