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A117438 Number triangle T(n,k)=[k<=n]*C(2n-k,k)*(-4)^(n-k). 2
1, -4, 1, 16, -12, 1, -64, 80, -24, 1, 256, -448, 240, -40, 1, -1024, 2304, -1792, 560, -60, 1, 4096, -11264, 11520, -5376, 1120, -84, 1, -16384, 53248, -67584, 42240, -13440, 2016, -112, 1, 65536, -245760, 372736, -292864, 126720, -29568, 3360, -144, 1, -262144, 1114112, -1966080, 1863680 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums are 1,-3,5,-7,.... Diagonal sums are a signed version of A117439. Rows correspond to diagonals of A117435.

LINKS

Table of n, a(n) for n=0..48.

EXAMPLE

Triangle begins

1,

-4, 1,

16, -12, 1,

-64, 80, -24, 1,

256, -448, 240, -40, 1,

-1024, 2304, -1792, 560, -60, 1,

4096, -11264, 11520, -5376, 1120, -84, 1

CROSSREFS

Sequence in context: A271413 A271262 A292922 * A075499 A099394 A269698

Adjacent sequences:  A117435 A117436 A117437 * A117439 A117440 A117441

KEYWORD

easy,sign,tabl

AUTHOR

Paul Barry, Mar 16 2006

STATUS

approved

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Last modified December 12 06:05 EST 2017. Contains 295937 sequences.