

A117438


Number triangle T(n,k)=[k<=n]*C(2nk,k)*(4)^(nk).


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
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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



