The On-Line Encyclopedia of Integer Sequences (OEIS)

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A084606

Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+2x+2x^2)^n.
(history; published version)

#7 by Bruno Berselli at Thu Aug 01 09:30:12 EDT 2013

STATUS

proposed

approved

#6 by Michel Marcus at Thu Aug 01 09:29:47 EDT 2013

STATUS

editing

proposed

#5 by Michel Marcus at Thu Aug 01 09:29:43 EDT 2013

KEYWORD

nonn,tabltabf

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 18:36:34 EDT 2012

AUTHOR

_Paul D. Hanna (pauldhanna(AT)juno.com), _, Jun 01 2003

Discussion

Fri Mar 30

18:36

OEIS Server: https://oeis.org/edit/global/213

#3 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

KEYWORD

nonn,tabl,new

AUTHOR

Paul D . Hanna (pauldhanna(AT)juno.com), Jun 01 2003

#2 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004

PROG

(PARI) for(n=0, 15, for(k=0, 2*n, t=polcoeff((1+2*x+2*x^2)^n, k, x); print1(t", ")); print(" "))

CROSSREFS

Cf. A002426, A084600-A084605, A084607A006139, A084608-A084615.

KEYWORD

nonn,tabl,new

#1 by N. J. A. Sloane at Sat Sep 13 03:00:00 EDT 2003

NAME

Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+2x+2x^2)^n.

DATA

1, 1, 2, 2, 1, 4, 8, 8, 4, 1, 6, 18, 32, 36, 24, 8, 1, 8, 32, 80, 136, 160, 128, 64, 16, 1, 10, 50, 160, 360, 592, 720, 640, 400, 160, 32, 1, 12, 72, 280, 780, 1632, 2624, 3264, 3120, 2240, 1152, 384, 64, 1, 14, 98, 448, 1484, 3752, 7448, 11776, 14896, 15008, 11872

OFFSET

0,3

EXAMPLE

Rows:

{1},

{1,2,2},

{1,4,8,8,4},

{1,6,18,32,36,24,8},

{1,8,32,80,136,160,128,64,16},

{1,10,50,160,360,592,720,640,400,160,32},

{1,12,72,280,780,1632,2624,3264,3120,2240,1152,384,64},

PROG

(PARI) for(n=0, 15, for(k=0, 2*n, t=polcoeff((1+2*x+2*x^2)^n, k, x); print1(t", ")); print(" "))

CROSSREFS

Cf. A002426, A084600-A084605, A084607-A084615.

KEYWORD

nonn,tabl

AUTHOR

Paul D Hanna (pauldhanna(AT)juno.com), Jun 01 2003

STATUS

approved