A171494 a(n) = 2*a(n-1) for n > 1; a(0) = 6, a(1) = 16.

6, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824, 2147483648

Offset: 0

Author

Klaus Brockhaus, Dec 10 2009

Keywords

• nonn

Comments

16*A000079 preceded by 6.

Binomial transform of A010726.

Inverse binomial transform of A171495.

Links

• Index entries for linear recurrences with constant coefficients, signature (2).

Crossrefs

Equals 2*A171497.

Cf. A000079 (powers of 2), A010726 (repeat 6, 10), A171495.

Programs

Mathematica

Join[{6},NestList[2#&,16,30]] (* Harvey P. Dale, Jan 13 2025 *)

PARI

{m=29; v=concat([6, 16], vector(m-2)); for(n=3, m, v[n]=2*v[n-1]); v}

Formula

a(n) = 2^(n+3) for n > 0; a(0) = 6.

G.f.: 2*(3+2*x)/(1-2*x).