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A275698 a(0) = 2, after that a(n) is 3 plus the least common multiple of previous terms. 1
2, 5, 13, 133, 17293, 298995973, 89398590973228813, 7992108067998667938125889533702533, 63873791370569400659097694858350356285036046451665934814399129508493 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

This sequence could be considered a particular case of a possible two-parameter family of sequences of the form: a(n) = k1 + lcm(a(0),a(1),..,a(n-1)), a(0) = k2, where in this case k1=3 and k2=2. With other choices of k1 and k2 it seems it is possible to generate other sequences such as

A129871 with k1 = 1 and k2 = 1,

A000058 with k1 = 1 and k2 = 2,

A082732 with k1 = 1 and k2 = 3,

A000215 with k1 = 2 and k2 = 3,

A000324 with k1 = 4 and k2 = 1,

A001543 with k1 = 5 and k2 = 1,

A001544 with k1 = 6 and k2 = 1,

A275664 with k1 = 2 and k2 = 2,

A000289 with k1 = 3 and k2 = 1.

LINKS

Table of n, a(n) for n=0..8.

S. W. Golomb, On certain nonlinear recurring sequences, Amer. Math. Monthly 70 (1963), 403-405.

S. Mustonen, On integer sequences with mutual k-residues

Seppo Mustonen, On integer sequences with mutual k-residues [Local copy]

FORMULA

a(n) = 3 + lcm(a(0), a(1), ..., a(n - 1)), a(0) = 2.

MATHEMATICA

A275698 = {2}; Do[AppendTo[A275698, 3 + LCM@@A275698], {i, 9}]; A275698

CROSSREFS

Cf. A000058, A000215, A000289, A000324, A001543, A001544, A082732, A275664.

Sequence in context: A120266 A230518 A241248 * A186450 A065797 A196273

Adjacent sequences:  A275695 A275696 A275697 * A275699 A275700 A275701

KEYWORD

nonn

AUTHOR

Andres Cicuttin, Aug 05 2016

STATUS

approved

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Last modified August 3 19:54 EDT 2021. Contains 346441 sequences. (Running on oeis4.)