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 A104575 #21 Sep 01 2024 19:22:07 %S A104575 1,-1,-2,-1,-1,3,1,7,4,4,4,2,-9,-7,-7,-28,-17,-25,-15,-24,-11,-8,34, %T A104575 19,53,46,108,110,106,113,122,108,75,103,-16,-87,-107,-169,-329,-257, %U A104575 -574,-501,-676,-609,-749,-588,-808,-548,-521,-315,-240,369,485,865,1099,1738,2129,2686,3088,3460,4103,4011,4480,3983 %N A104575 Alternating sum of diagonals in A060177. %C A104575 A090794(n) = (A000041(n)-a(n))/2. A092306(n) = (A000041(n)+a(n))/2. %H A104575 Seiichi Manyama, <a href="/A104575/b104575.txt">Table of n, a(n) for n = 0..10000</a> %F A104575 G.f.: Product_{i>0} (1 - 2*x^i)/(1 - x^i). %F A104575 Euler transform of -A008965(n). %t A104575 CoefficientList[Series[Product[(1-2x^k)/(1-x^k),{k,70}],{x,0,70}],x] (* _Harvey P. Dale_, Jan 21 2021 *) %o A104575 (PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, 1-x^k/(1-x^k))) \\ _Seiichi Manyama_, Oct 05 2019 %Y A104575 Convolution inverse of A006951. %Y A104575 Cf. A000041, A008965, A081362, A092306, A268498. %K A104575 sign,look %O A104575 0,3 %A A104575 _Vladeta Jovovic_, Apr 21 2005 %E A104575 a(0)=1 prepended by _Seiichi Manyama_, Oct 05 2019