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 A082607 a(0)=1; for n > 0, a(n) = least k not included earlier such that k*a(n-1) - 1 is a square. 3
 1, 2, 5, 10, 17, 26, 37, 50, 65, 34, 13, 25, 41, 61, 85, 113, 145, 122, 101, 82, 293, 634, 1105, 53, 109, 185, 74, 149, 250, 377, 205, 146, 97, 58, 29, 73, 137, 221, 181, 650, 541, 442, 353, 274, 953, 2042, 3541, 5450, 409, 173, 370, 289, 218, 157, 106, 337, 698 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..56. MATHEMATICA l = {1}; Do[k = 1; While[MemberQ[l, k] || !IntegerQ[Sqrt[k*Last[l]-1]], k++ ]; AppendTo[l, k], {n, 50}]; l (* Ryan Propper, Jun 13 2006 *) PROG (PARI) a=[1]; print1(1", "); for(n=2, 100, k=1; f=1; while(f, if(issquare(k*a[n-1]-1), f=0; for(i=1, n-1, if(a[i]==k, f=1))); k++); a=concat(a, k-1); print1(k-1", ")) \\ Herman Jamke (hermanjamke(AT)fastmail.fm), May 01 2007 CROSSREFS Cf. A082608, A082609, A082610, A082611, A082612. Sequence in context: A100292 A078325 A059591 * A303372 A159547 A002522 Adjacent sequences: A082604 A082605 A082606 * A082608 A082609 A082610 KEYWORD nonn AUTHOR Amarnath Murthy, Apr 28 2003 EXTENSIONS Corrected and extended by Ryan Propper, Jun 13 2006 Definition corrected by R. J. Mathar, Nov 12 2006 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 01 2007 STATUS approved

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Last modified October 2 23:30 EDT 2023. Contains 365841 sequences. (Running on oeis4.)