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A084614 Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1 + x - 3x^2)^n. 3
1, 1, 1, -3, 1, 2, -5, -6, 9, 1, 3, -6, -17, 18, 27, -27, 1, 4, -6, -32, 19, 96, -54, -108, 81, 1, 5, -5, -50, 5, 211, -15, -450, 135, 405, -243, 1, 6, -3, -70, -30, 366, 181, -1098, -270, 1890, -243, -1458, 729, 1, 7, 0, -91, -91, 546, 637, -2015, -1911, 4914, 2457, -7371, 0, 5103, -2187, 1, 8, 4, -112, -182, 728, 1456 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened

EXAMPLE

Rows:

{1},

{1,1,-3},

{1,2,-5, -6,  9},

{1,3,-6,-17, 18, 27,-27},

{1,4,-6,-32, 19, 96,-54, -108,  81},

{1,5,-5,-50,  5,211,-15, -450, 135, 405,-243},

{1,6,-3,-70,-30,366,181,-1098,-270,1890,-243,-1458,729},

MATHEMATICA

With[{eq = (1 + x - 3*x^2)}, Flatten[Table[CoefficientList[Expand[eq^n], x], {n, 0, 10}]]] (* G. C. Greubel, Mar 02 2017 *)

PROG

(PARI) for(n=0, 12, for(k=0, 2*n, t=polcoeff((1+x-3*x^2)^n, k, x); print1(t", ")); print(" "))

CROSSREFS

Cf. A002426, A084600-A084613, A084615.

Sequence in context: A183386 A231818 A280633 * A050058 A144204 A048226

Adjacent sequences:  A084611 A084612 A084613 * A084615 A084616 A084617

KEYWORD

sign,tabf

AUTHOR

Paul D. Hanna, Jun 01 2003

STATUS

approved

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Last modified September 20 05:51 EDT 2019. Contains 327212 sequences. (Running on oeis4.)