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 A120855 #7 Aug 01 2012 03:17:59 %S A120855 0,2,1,2,4,3,1,3,2,2,4,3,4,6,5,3,5,4,1,3,2,3,5,4,2,4,3,2,4,3,4,6,5,3, %T A120855 5,4,4,6,5,6,8,7,5,7,6,3,5,4,5,7,6,4,6,5,1,3,2,3,5,4,2,4,3,3,5,4,5,7, %U A120855 6,4,6,5,2,4,3,4,6,5,3,5,4,2,4,3,4,6,5,3,5,4,4,6,5,6,8,7,5,7,6,3,5,4,5,7,6 %N A120855 Row sums of triangle A120854, which is the matrix log of triangle A117939. %C A120855 Triangle A117939 is related to powers of 3 partitions of n and is the matrix square of A117947(n,k) = balanced ternary digits of C(n,k) mod 3, also A117947(n,k) = L(C(n,k)/3) where L(j/p) is the Legendre symbol of j and p. %F A120855 a(n) = 2*A062756 + A081603(n), where A062756(n) = number of 1's in ternary expansion of n and A081603(n) = number of 2's in ternary expansion of n. %t A120855 f[n_] := DigitCount[n, 3] /. {a_, b_, c_} -> 2a + b + 0c; Array[f, 105, 0] (* _Robert G. Wilson v_, Jul 31 2012 *) %o A120855 (PARI) {a(n)=local(M=matrix(n+1,n+1,r,c,(binomial(r-1,c-1)+1)%3-1)^2, L=sum(i=1,#M,-(M^0-M)^i/i));return(sum(k=0,n,L[n+1,k+1]))} %Y A120855 Cf. A120854, A117947; A062756, A081603, A053735. %K A120855 nonn %O A120855 0,2 %A A120855 _Paul D. Hanna_, Jul 08 2006