A122838 Triangular array read by rows: row n gives coefficients of p(n)(x), where p(0)=1, p(1)=x-1, p(n) = (x-fibonacci(n))*p(n-1)-(n-1)*p(n-2).

1, -1, 1, 0, -2, 1, 2, 2, -4, 1, -6, 2, 11, -7, 1, 22, -24, -37, 42, -12, 1, -146, 204, 217, -338, 133, -20, 1, 1766, -2654, -2395, 4359, -1995, 387, -33, 1, -36064, 56072, 46122, -91568, 45323, -9982, 1073, -54, 1, 1212048, -1921280, -1492916, 3124562, -1616590, 381615, -46200, 2901, -88, 1, -66338064

Offset

0,5

Links

Table of n, a(n) for n=0..55.

Example

{1},
{-1, 1},
{0, -2, 1},
{2, 2, -4, 1},
{-6, 2, 11, -7, 1},
{22, -24, -37, 42, -12, 1},
{-146, 204, 217, -338, 133, -20,1},
{1766, -2654, -2395, 4359, -1995, 387, -33, 1},
{-36064, 56072, 46122, -91568, 45323, -9982, 1073, -54, 1},
{1212048, -1921280, -1492916, 3124562, -1616590, 381615, -46200, 2901, -88, 1},

Maple

p:=proc(n) option remember; if n = 0 then RETURN(1); fi; if n = 1 then RETURN(x-1); fi; sort(expand((x-fibonacci(n))*p(n-1)-(n-1)*p(n-2))); end; (N. J. A. Sloane)

Crossrefs

Sequence in context: A003165 A337679 A158379 * A070306 A355639 A050378

Adjacent sequences: A122835 A122836 A122837 * A122839 A122840 A122841

Keyword

tabl,sign

Author

Roger L. Bagula, Oct 23 2006

Extensions

Edited by N. J. A. Sloane, Oct 24 2006

Status

approved