cp's OEIS Frontend

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.

A102377 Gould's sequence A001316 in binary.

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%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