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 A102377 #10 Jan 12 2024 00:52:56 %S A102377 1,10,10,100,10,100,100,1000,10,100,100,1000,100,1000,1000,10000,10, %T A102377 100,100,1000,100,1000,1000,10000,100,1000,1000,10000,1000,10000, %U A102377 10000,100000,10,100,100,1000,100,1000,1000,10000,100,1000,1000,10000,1000 %N A102377 Gould's sequence A001316 in binary. %F A102377 Formulas due to Paul D. Hanna: %F A102377 a(n) = 10^A000120(n). %F A102377 a(n) = Product_{k=0..log_2(n)} 10^b(n,k) where b(n,k) = coefficient of 2^k in binary expansion of n. %F A102377 a(n) = Sum_{k=0..n} (C(n,k) mod 2)*9^A000120(n-k). %F A102377 G.f.: Product_{k>=0} 1 + 10*x^(2^k). %o A102377 (PARI) a(n) = 10^hammingweight(n); \\ _Kevin Ryde_, Jan 11 2024 %Y A102377 Cf. A001316, A048883, A102376. %K A102377 easy,base,nonn %O A102377 0,2 %A A102377 _Paul Barry_, Jan 05 2005