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 A092444 a(n+1) = 11*a(n) - a(n-1) - 3, a(0)=a(1)=1. 2
 1, 1, 7, 73, 793, 8647, 94321, 1028881, 11223367, 122428153, 1335486313, 14567921287, 158911647841, 1733460204961, 18909150606727, 206267196469033, 2250030010552633, 24544062919609927, 267734662105156561 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The old entry with this sequence number was a duplicate of A039963. The simultaneous equations (p+1)(p+2) == -1 (mod q), (q+1)(q+2) == -1 (mod p), where p and q are odd, have solutions {3, 3}, {3, 21}, {7, 73}, {21, 507}, {73, 793}, {793, 8647} and suggested this recurrence. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..980 Index entries for linear recurrences with constant coefficients, signature (12,-12,1). FORMULA a(n) = 2*(A004190(n)-10*A004190(n-1))/3+1/3. G.f.: (1-11x+7x^2)/((1-x)(1-11x+x^2)). [From R. J. Mathar, Sep 20 2008] CROSSREFS Sequence in context: A093675 A121127 A071060 * A099141 A084768 A106651 Adjacent sequences:  A092441 A092442 A092443 * A092445 A092446 A092447 KEYWORD nonn AUTHOR N. J. A. Sloane, Sep 19 2008, based on emails from M. F. Hasler and Jim Nastos on Apr 25 2008 EXTENSIONS More terms from R. J. Mathar, Sep 20 2008 STATUS approved

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Last modified October 21 23:02 EDT 2018. Contains 316431 sequences. (Running on oeis4.)