This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A138110 #5 Mar 30 2012 18:51:57 %S A138110 0,0,0,1,-1,0,0,1,0,-1,0,1,1,-1,-1,1,2,0,-2,-1,3,2,-2,-3,0,5,0,-5,-3, %T A138110 3,5,-5,-8,0,8,0,-13,-8,8,13,-13,-21,0,21,13,-34,-21,21,34,0,-55,0,55, %U A138110 34,-34,-55,55,89,0,-89,0,144,89,-89,-144,144,233,0,-233,-144,377,233,-233,-377,0,610,0,-610,-377,377 %N A138110 Table T(d,n) read column by column: the n-th term in the sequence of the d-th differences of A138112, d=0..4. %C A138110 Ignoring signs, the sequence contains A000045(2)=1 ten times and each of the following Fibonacci numbers A000045(i>2) four times. %F A138110 T(0,n)=A138112(n). T(d,n)= T(d-1,n+1)-T(d-1,n), d=1..4. %F A138110 T(1,n)=A100334(n-1). T(2,n)=A103311(n). T(3,n) = -A138003(n-2). T(4,n)= -A105371(n). %F A138110 sum_(d=0..4) T(d,n)=0 (columns sum to zero). %e A138110 All 5 rows of the table T(d,n) are: %e A138110 .0,.0,.0,.1,.3,.5,.5,..0,-13,-34,-55,-55,...0,.144,... %e A138110 .0,.0,.1,.2,.2,.0,-5,-13,-21,-21,..0,.55,.144,.233,... %e A138110 .0,.1,.1,.0,-2,-5,-8,.-8,..0,.21,.55,.89,..89,...0,... %e A138110 .1,.0,-1,-2,-3,-3,.0,..8,.21,.34,.34,..0,.-89,-233,... %e A138110 -1,-1,-1,-1,.0,.3,.8,.13,.13,..0,-34,-89,-144,-144,... %Y A138110 Cf. A102312 (A049666), A099100, A134489, A134490, A134491. %K A138110 sign,tabf,less %O A138110 0,17 %A A138110 _Paul Curtz_, May 04 2008 %E A138110 Edited by _R. J. Mathar_, Jul 04 2008