A231731 - OEIS

A231731

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 = 2*x + 1.

1, 2, 2, 4, 4, 3, 10, 12, 8, 5, 20, 36, 32, 16, 8, 40, 88, 112, 80, 32, 13, 76, 204, 320, 320, 192, 64, 21, 142, 444, 840, 1040, 864, 448, 128, 34, 260, 932, 2048, 3040, 3136, 2240, 1024, 256, 55, 470, 1896, 4752, 8176, 10080, 8960, 5632, 2304, 512, 89, 840

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OFFSET

1,2

COMMENTS

Sum of numbers in row n: A006190(n). Left edge: A000045 (Fibonacci numbers). Right edge: powers of 2

LINKS

Table of n, a(n) for n=1..56.

EXAMPLE

First 3 rows:

1 ... 2

2 ... 4 .... 4

3 ... 10 ... 12 ... 8