cp's OEIS Frontend

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

%I A137337 #23 Apr 28 2022 12:19:31
%S A137337 1,-4,8,12,-48,48,-32,192,-384,256,80,-640,1920,-2560,1280,-192,1920,
%T A137337 -7680,15360,-15360,6144,448,-5376,26880,-71680,107520,-86016,28672,
%U A137337 -1024,14336,-86016,286720,-573440,688128,-458752,131072,2304,-36864,258048,-1032192,2580480,-4128768,4128768,-2359296,589824
%N A137337 T(i,j) = (-1)^(i+j)*(i+1)*binomial(i,j)*2^(i-j)*4^j.
%C A137337 Apart from signs, row i equals (i+1) times row i of A038210. - _Joerg Arndt_, Aug 07 2020
%e A137337 Triangle starts:
%e A137337 1,
%e A137337 -4, 8,
%e A137337 12, -48, 48,
%e A137337 -32, 192, -384, 256,
%e A137337 80, -640, 1920, -2560, 1280,
%e A137337 -192, 1920, -7680, 15360, -15360, 6144,
%e A137337 448, -5376, 26880, -71680, 107520, -86016, 28672,
%e A137337 -1024, 14336, -86016, 286720, -573440, 688128, -458752, 131072,...
%o A137337 (PARI) T(i,j) = (-1)^(i+j)*(i+1)*binomial(i,j)*2^(i-j)*4^j;
%o A137337 for(i=0,10,for(j=0,i,print1(T(i,j),", "));print()); \\ _Joerg Arndt_, Aug 07 2020
%K A137337 tabl,easy,sign
%O A137337 0,2
%A A137337 _Roger L. Bagula_, Apr 07 2008
%E A137337 Corrected and edited by _Joerg Arndt_, Aug 07 2020
%E A137337 Definition corrected to match terms by _Georg Fischer_, Apr 28 2022