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

0,2

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).

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

Mathematica

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

Prog

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

Crossrefs

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

Essentially the same as A132479, A077552, A020707.

Sequence in context: A089882 A335850 A206375 * A363014 A261976 A291124

Adjacent sequences: A146538 A146539 A146540 * A146542 A146543 A146544

Keyword

nonn,easy

Author

Philippe Deléham, Oct 31 2008

Extensions

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

Status

approved