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A083105 Second-order linear recurrence sequence with a(n) = a(n-1) + a(n-2). +0
5
62638280004239857, 49463435743205655, 112101715747445512, 161565151490651167, 273666867238096679, 435232018728747846, 708898885966844525, 1144130904695592371, 1853029790662436896 (list; graph; listen)
OFFSET

0,1

COMMENT

a(0) = 62638280004239857, a(1) = 49463435743205655. This is a second-order linear recurrence sequence with a(0) and a(1) coprime that does not contain any primes. It was found by D. E. Knuth in 1990.

REFERENCES

R. L. Graham, Math. Mag. 37, 1964, pp. 322-324.

D. E. Knuth, Math. Mag. 63, 1990, pp. 21-25.

LINKS

Tanya Khovanova, Recursive Sequences

J. W. Nicol, A Fibonacci-like sequence of composite numbers

Prime Puzzles, Problem 31. Fibonacci- all composites sequence

CROSSREFS

Cf. A000032 (Lucas numbers), A000045 (Fibonacci numbers), A083103, A083104, A083216, A082411.

Sequence in context: A038362 A038363 A051167 this_sequence A115499 A104837 A008923

Adjacent sequences: A083102 A083103 A083104 this_sequence A083106 A083107 A083108

KEYWORD

nonn

AUTHOR

Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 23 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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