A137337 T(i,j) = (-1)^(i+j)*(i+1)*binomial(i,j)*2^(i-j)*4^j.

1, -4, 8, 12, -48, 48, -32, 192, -384, 256, 80, -640, 1920, -2560, 1280, -192, 1920, -7680, 15360, -15360, 6144, 448, -5376, 26880, -71680, 107520, -86016, 28672, -1024, 14336, -86016, 286720, -573440, 688128, -458752, 131072, 2304, -36864, 258048, -1032192, 2580480, -4128768, 4128768, -2359296, 589824

Offset: 0

Author

Roger L. Bagula, Apr 07 2008

Keywords

• tabl
• easy
• sign

Comments

Apart from signs, row i equals (i+1) times row i of A038210. - Joerg Arndt, Aug 07 2020

Examples

			Triangle starts:
1,
-4, 8,
12, -48, 48,
-32, 192, -384, 256,
80, -640, 1920, -2560, 1280,
-192, 1920, -7680, 15360, -15360, 6144,
448, -5376, 26880, -71680, 107520, -86016, 28672,
-1024, 14336, -86016, 286720, -573440, 688128, -458752, 131072,...
		

Programs

PARI

T(i,j) = (-1)^(i+j)*(i+1)*binomial(i,j)*2^(i-j)*4^j;
for(i=0,10,for(j=0,i,print1(T(i,j),", "));print()); \\ Joerg Arndt, Aug 07 2020

Extensions

Corrected and edited by Joerg Arndt, Aug 07 2020

Definition corrected to match terms by Georg Fischer, Apr 28 2022