|
Search: id:A084602
|
|
|
| A084602 |
|
Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+x+3x^2)^n. |
|
+0
3
|
|
| 1, 1, 1, 3, 1, 2, 7, 6, 9, 1, 3, 12, 19, 36, 27, 27, 1, 4, 18, 40, 91, 120, 162, 108, 81, 1, 5, 25, 70, 185, 331, 555, 630, 675, 405, 243, 1, 6, 33, 110, 330, 726, 1441, 2178, 2970, 2970, 2673, 1458, 729, 1, 7, 42, 161, 539, 1386, 3157, 5797, 9471, 12474, 14553
(list; table; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
EXAMPLE
|
Rows:
{1},
{1,1,3},
{1,2,7,6,9},
{1,3,12,19,36,27,27},
{1,4,18,40,91,120,162,108,81},
{1,5,25,70,185,331,555,630,675,405,243},
{1,6,33,110,330,726,1441,2178,2970,2970,2673,1458,729},
|
|
PROGRAM
|
(PARI) for(n=0, 15, for(k=0, 2*n, t=polcoeff((1+x+3*x^2)^n, k, x); print1(t", ")); print(" "))
|
|
CROSSREFS
|
Cf. A002426, A084600-A084601, A084603-A084615.
Sequence in context: A074305 A151855 A135338 this_sequence A100888 A052914 A131671
Adjacent sequences: A084599 A084600 A084601 this_sequence A084603 A084604 A084605
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jun 01 2003
|
|
|
Search completed in 0.002 seconds
|
