A231154 - OEIS

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A231154

Triangular array read by rows: row n shows the coefficients of the polynomial u(n) = c(0) + c(1)*x + ... + c(n)*x^n which is the numerator of the n-th convergent of the continued fraction [k, k, k, ... ], where k = (x + 1)/(x - 1).

1, 1, 2, 0, 2, 3, 1, 1, 3, 5, 0, 6, 0, 5, 8, 0, 8, 8, 0, 8, 13, -2, 19, 4, 19, -2, 13, 21, -5, 33, 15, 15, 33, -5, 21, 34, -12, 64, 12, 60, 12, 64, -12, 34, 55, -25, 116, 20, 90, 90, 20, 116, -25, 55, 89, -50, 213, 8, 210, 84, 210, 8, 213, -50, 89

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Sum of numbers in row n: 2^n. Left and right edges: A000045 (Fibonacci numbers).

LINKS

Table of n, a(n) for n=1..65.

EXAMPLE

First 5 rows:

1 . . . 1

2 . . . 0 . . . 2

3 . . . 1 . . . 1 . . . 3