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 A107906 #17 Sep 02 2019 02:34:36 %S A107906 1,8,16,128,256,2048,4096,32768,65536,524288,1048576,8388608,16777216, %T A107906 134217728,268435456,2147483648,4294967296,34359738368,68719476736, %U A107906 549755813888,1099511627776,8796093022208,17592186044416 %N A107906 Expansion of (1+8x)/(1-16x^2). %C A107906 Fifth binomial transform is A096053. %H A107906 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,16). %F A107906 a(n) = ((1+sqrt(4))*(2*sqrt(4))^n + (1-sqrt(4))*(-2*sqrt(4))^n)/2; %F A107906 a(n) = 3*4^n/2 - (-4)^n/2. %F A107906 a(2n) = 16^n, a(2n+1) = 8*16^n. %K A107906 easy,nonn %O A107906 0,2 %A A107906 _Paul Barry_, May 27 2005