A146541 Binomial transform of A010688.

1, 8, 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, 4294967296, 8589934592

Offset: 0

Author

Philippe Deléham, Oct 31 2008

Keywords

• nonn
• easy

Comments

Hankel transform is := 1,-48,0,0,0,0,0,0,0,...

Links

• Colin Barker, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (2).

Crossrefs

Cf. A000007, A011782, A000079, A003945, A046055, A146523, A082505, A135092.

Essentially the same as A132479, A077552, A020707.

Programs

Mathematica

Join[{1},2^Range[3,40]] (* Harvey P. Dale, Feb 28 2016 *)

PARI

Vec((1+6*x)/(1-2*x) + O(x^50)) \\ Colin Barker, Mar 17 2016

Formula

a(0)=1, a(n) = 2^(n+2) for n>0.

a(n) = Sum_{k, 0..n} A109466(n,k)*A146534(k).

a(n) = A132479(n), n>1. - R. J. Mathar, Nov 02 2008

G.f.: (1+6*x) / (1-2*x). - Colin Barker, Mar 17 2016

Extensions

Corrected and extended by Harvey P. Dale, Feb 28 2016