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 A048483 #8 Mar 30 2012 18:56:55 %S A048483 1,2,1,4,3,1,8,7,4,1,16,15,10,5,1,32,31,22,13,6,1,64,63,46,29,16,7,1, %T A048483 128,127,94,61,36,19,8,1,256,255,190,125,76,43,22,9,1,512,511,382,253, %U A048483 156,91,50,25,10,1,1024,1023,766,509,316,187 %N A048483 Array read by antidiagonals: T(k,n) = (k+1)2^n - k. %C A048483 n-th difference of (T(k,n),T(k,n-1),...,T(k,0)) is k+1, for n=1,2,3,...; k=0,1,2,... %F A048483 G.f.: (1-x+kx)/[(1-x)(1-2x)]. E.g.f.: (k+1)*exp(2x) - k*exp(x). %F A048483 Recurrences: T(k, n) = 2T(k, n-1)+k = T(k-1, n)+2^n-1, T(k, 0) = 1. %e A048483 1 2 4 8 16 32 ... %e A048483 1 3 7 15 31 63 ... %e A048483 1 4 10 22 46 94 ... %e A048483 1 5 13 29 61 125 ... %e A048483 1 6 16 36 76 156 ... %Y A048483 Rows are A000079 (k=0), A000225 (k=1), A033484 (k=2), A036563 (k=3), A048487 (k=4), A048488 (k=5), A048489 (k=6), A048490 (k=7), A048491 (k=8). %Y A048483 Main diagonal is A048493. Cf. A048494. %K A048483 nonn,tabl %O A048483 0,2 %A A048483 _Clark Kimberling_ %E A048483 Edited by _Ralf Stephan_, Feb 05 2004