0,1

A142069= period 9:repeat 3, 7, 2, 6, 1, 5, 0, 4, 8 ; a(n)=A142069(3n)+A142069(3n+1)+A1421069(3n+2). [From Paul Curtz (bpcrtz(AT)free.fr), Sep 22 2008]

If A=[A158132] 144*n.^2+2*n (n>0, 146, 580, 1302,.,. ,.,); Y=[A010851] 12 (12, 12, 12,.,); X=[A1581333] 144*n+1 (n>0, 145, 289, 433, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 145^2-146*12^2=1; 289^2-580*12^2=1; 433^2-1302*12^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 13 2009]

If A=[A158135] 144*n.^2-2*n (n>0, 142, 572, 1290,.,. ,.,); Y=[A010851] 12 (12, 12, 12,.,); X=[A158136] 144*n-1 (n>0, 143, 287, 431, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 143^2-142*12^2=1; 287^2-572*12^2=1; 431^2-1290*12^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 13 2009]

Tanya Khovanova, Recursive Sequences

Cf. A158132, A158133 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 13 2009]

Cf. A158135, A158136 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 13 2009]

Sequence in context: A112124 A069873 A129498 this_sequence A123896 A122878 A064162

Adjacent sequences: A010848 A010849 A010850 this_sequence A010852 A010853 A010854

nonn

N. J. A. Sloane (njas(AT)research.att.com).