0,1

A146079=2,4,8,5,4,5,8,4,2; a(n)=A146079(3n)+A146079(3n+1)+A146079(3n+2). [From Paul Curtz (bpcrtz(AT)free.fr), Feb 13 2009]

If A=[A158222] 196*n.^2+2*n (n>0, 198, 788, 1770, ,. ,.,); Y=[A010853] 14 (14, 14, 14,.,); X=[A158223] 196*n+1 (n>0, 197, 393, 589, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 197^2-198*14^2=1; 393^2-788*14^2=1; 589^2-1770*14^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009]

If A=[A158224] 196*n.^2-2*n (n>0, 194, 780, 1758, ,. ,.,); Y=[A010853] 14 (14, 14, 14,.,); X=[A158225] 196*n-1 (n>0, 195, 391, 587, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 195^2-194*14^2=1; 391^2-780*14^2=1; 587^2-1758*14^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009]

Tanya Khovanova, Recursive Sequences

Cf. A158222, A158223 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009]

Cf. A158224, A158225 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009]

Sequence in context: A055125 A076158 A128883 this_sequence A031167 A105707 A157427

Adjacent sequences: A010850 A010851 A010852 this_sequence A010854 A010855 A010856

nonn

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