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A110389 Integers with mutual residues -1. 0
2, 3, 5, 29, 869, 756029, 571580604869, 326704387862983487112029, 106735757048926752040856495274871386126283608869, 11392521832807516835658052968328096177131218666695418950023483907701862019030266123104859068029 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This is the special case k=1 of sequences with mutual residues -k. In general, a(1)=k+1 and a(n)=min{m | m>a(n-1), mod(m,a(i))=-k, i=1,...,n-1}.

An infinite coprime sequence

Same as A005267 but two first terms in reverse order

LINKS

Table of n, a(n) for n=1..10.

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

FORMULA

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

a(n)=a(n-1)^2+a(n-1)-1, n>3

MAPLE

a:=proc(k, n::nonnegint) option remember; if n<3 then RETURN(n*k+1); fi; if n=3 then RETURN(a(k, 1)*a(k, 2)-k); fi; a(k, n-1)*(a(k, n-1)+k)-k; end; seq(a(1, n), n=1..10);

MATHEMATICA

Join[{2, 3}, NestList[#^2+#-1&, 5, 10]] (* Harvey P. Dale, Jul 13 2015 *)

CROSSREFS

Cf. A000289.

Sequence in context: A093490 A073309 A226124 * A083388 A090475 A060301

Adjacent sequences:  A110386 A110387 A110388 * A110390 A110391 A110392

KEYWORD

nonn

AUTHOR

Seppo Mustonen, Sep 11 2005

EXTENSIONS

One more term (a(10)) from Harvey P. Dale, Jul 13 2015

STATUS

approved

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Last modified June 28 15:19 EDT 2017. Contains 288838 sequences.