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 A171494 #6 Jan 13 2025 19:01:06 %S A171494 6,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,65536,131072, %T A171494 262144,524288,1048576,2097152,4194304,8388608,16777216,33554432, %U A171494 67108864,134217728,268435456,536870912,1073741824,2147483648 %N A171494 a(n) = 2*a(n-1) for n > 1; a(0) = 6, a(1) = 16. %C A171494 16*A000079 preceded by 6. %C A171494 Binomial transform of A010726. %C A171494 Inverse binomial transform of A171495. %H A171494 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (2). %F A171494 a(n) = 2^(n+3) for n > 0; a(0) = 6. %F A171494 G.f.: 2*(3+2*x)/(1-2*x). %t A171494 Join[{6},NestList[2#&,16,30]] (* _Harvey P. Dale_, Jan 13 2025 *) %o A171494 (PARI) {m=29; v=concat([6, 16], vector(m-2)); for(n=3, m, v[n]=2*v[n-1]); v} %Y A171494 Equals 2*A171497. %Y A171494 Cf. A000079 (powers of 2), A010726 (repeat 6, 10), A171495. %K A171494 nonn %O A171494 0,1 %A A171494 _Klaus Brockhaus_, Dec 10 2009