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A231774

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 + 2).

2, 1, 5, 6, 2, 9, 19, 13, 3, 29, 72, 69, 30, 5, 65, 213, 278, 182, 60, 8, 181, 682, 1084, 928, 451, 118, 13, 441, 1975, 3795, 4065, 2625, 1023, 223, 21, 1165, 5868, 13015, 16590, 13290, 6852, 2221, 414, 34, 2929, 16697, 42404, 63020, 60435, 38799, 16682

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OFFSET

1,1

COMMENTS

Sum of numbers in row n: A002534(n). Left edge: A006131. Right edge: A000045 (Fibonacci numbers).

LINKS

Table of n, a(n) for n=1..51.

EXAMPLE

First 3 rows:

2 ... 1

5 ... 6 .... 2

9 ... 19 ... 13 ... 3