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A073734
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Gcd of consecutive members of the EKG sequence A064413.
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3
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1, 2, 2, 3, 3, 3, 4, 2, 5, 5, 3, 2, 7, 7, 3, 8, 4, 2, 11, 11, 3, 3, 5, 5, 7, 2, 13, 13, 3, 4, 2, 17, 17, 3, 2, 19, 19, 3, 5, 4, 2, 23, 23, 3, 2, 2, 2, 2, 7, 7, 3, 5, 5, 5, 2, 29, 29, 3, 2, 31, 31, 3, 8, 4, 2, 37, 37, 3, 3, 2, 4, 2, 41, 41, 3, 3, 7, 11, 2, 43, 43, 3, 5, 5, 5, 4, 2, 47, 47, 3, 2, 7
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,2
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COMMENTS
| All terms shown are prime powers, but this does not hold for all n. For n > 2, a(n) is divisible by A064740(n).
a(A064955(n)) = A000040(n) for n > 1. [Reinhard Zumkeller, Sep 17 2001]
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LINKS
| T. D. Noe, Table of n, a(n) for n=2..1000
J. C. Lagarias, E. M. Rains and N. J. A. Sloane, The EKG sequence, Exper. Math. 11 (2002), 437-446.
Index entries for sequences related to EKG sequence
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FORMULA
| a(n) = gcd(A064413(n-1), A064413(n)).
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EXAMPLE
| a(8) = 4 because gcd(A064413(7), A064413(8)) = gcd(12, 8) = 4.
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PROG
| (Haskell)
a073734 n = a073734_list !! (n-2)
a073734_list = zipWith gcd a064413_list $ tail a064413_list
-- Reinhard Zumkeller, Sep 17 2001
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CROSSREFS
| Cf. A064413, A064740, A073735.
Sequence in context: A128586 A130971 A051776 * A062558 A072789 A126302
Adjacent sequences: A073731 A073732 A073733 * A073735 A073736 A073737
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KEYWORD
| easy,nonn
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AUTHOR
| David Wasserman (wasserma(AT)spawar.navy.mil), Aug 06 2002
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