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Search: id:A104623
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| 4, 8, 9, 11, 12, 14, 15, 16, 22, 23, 32, 34, 37, 41, 42, 50, 52, 57, 58, 66, 69, 76, 77, 81, 90
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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The 7th-order linear recurrence A104622 (heptanacci-Lucas numbers) is a generalization of the Lucas sequence A000032. T. D. Noe and I have noted that the heptanacci-Lucas numbers have many more primes than the corresponding heptanacci (see A104414) which he found has only the first 3 primes that I identified through the first 5000 values, whereas these heptanacci-Lucas numbers have 17 primes among the first 100 values. For primes in Heptanacci-Lucas numbers, see A104622.
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REFERENCES
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Mario Catalani, "Polymatrix and Generalized Polynacci Numbers", arXiv:math.CO/0210201 v1, 2002
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LINKS
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Eric Weisstein's World of Mathematics, Semiprime.
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EXAMPLE
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A104621(4) = 15 = 3 * 5,
A104621(8) = 247 = 13 * 19,
A104621(9) = 493 = 17 * 29,
A104621(11) = 1959 = 3 * 653,
A104621(12) = 3903 = 3 * 1301,
A104621(14) = 15487 = 17 * 911,
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CROSSREFS
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Cf. A001358.
Sequence in context: A073042 A094349 A118715 this_sequence A158758 A078137 A010453
Adjacent sequences: A104620 A104621 A104622 this_sequence A104624 A104625 A104626
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KEYWORD
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nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 17 2005
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