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

0,2

Comments

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

Links

Table of n, a(n) for n=0..44.

Example

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,...

Prog

(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

Crossrefs

Sequence in context: A232901 A038563 A083492 * A061517 A297555 A387553

Adjacent sequences: A137334 A137335 A137336 * A137338 A137339 A137340

Keyword

tabl,easy,sign

Author

Roger L. Bagula, Apr 07 2008

Extensions

Corrected and edited by Joerg Arndt, Aug 07 2020

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

Status

approved