1,5

By rows, terms as coefficients of companion Pell polynomials, f(x) = columns of A118979. f(x), x = 1,2,3...; sequences are binomial transforms of A118980 rows.

First few rows of the triangle are:

1;

1, 1;

1, 2, 3;

1, 3, 6, 4;

1, 4, 10, 12, 7;

1, 5, 15, 25, 25, 11;

...

Polynomials are: (1), (x + 1), (x^2 + 2x + 3), (x^3 + 3x^2 + 6x + 4),...

Row 3: (1, 2, 3); as (x^2 + 2x + 3) = f(x), (x=1,2,3...) of column 3 of A118979: (6, 11, 18, 27, 38, 51...). The latter sequence = binomial transform of row 3 of A118980: (6, 5, 2).

Cf. A118980, A118979.

Sequence in context: A086404 A152976 A153861 this_sequence A117938 A101912 A111808

Adjacent sequences: A118978 A118979 A118980 this_sequence A118982 A118983 A118984

nonn,tabl,uned

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 07 2006