0,2

See A129339 comments.Third sequence after b(n)=3b(n-1)-3b(n-2)+2b(n-3) and c(n)=3c(n-1)-c(n-3)+3c(n-4). The first is for every sequence identical to its third differences. What characterizes the two others?

a(n+1)-4a(n) = hexaperiodic -1, 0, 3, 1, 0, -3, sextuplet of 0, 3, 1, 0, -3, -1, A135297. Also 5a(n)=4^n + hexaperiodic 1, -1, -4, -1, 1, 4.

a(n) = (4^(n+1)/5)-(2/15)*(-1)^n+(1/3)*cos(Pi*n/3)-(3^0.5/3)*cos(Pi*n/3). - Richard Choulet (richardchoulet(AT)yahoo.fr), Jan 04 2008

Cf. A135345.

Sequence in context: A094601 A009024 A043291 this_sequence A083314 A104268 A081704

Adjacent sequences: A135340 A135341 A135342 this_sequence A135344 A135345 A135346

nonn

Paul Curtz (bpcrtz(AT)free.fr), Dec 05 2007