login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A110152 G.f.: A(x) = Product_{n>=1} 1/(1 - 2^n*x^n)^(2/2^n). 4
1, 2, 6, 14, 36, 78, 192, 406, 942, 2018, 4512, 9450, 21178, 43950, 95532, 200398, 431356, 892518, 1917572, 3950614, 8410230, 17398466, 36648980, 75326754, 159199004, 326471706, 683028924, 1404145162, 2930071798, 5993625942 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

EXAMPLE

A(x) = 1 + 2*x + 6*x^2 + 14*x^3 + 36*x^4 + 78*x^5 +... =

1/[(1-2*x)*(1-4*x^2)^(1/2)*(1-8*x^3)^(1/4)*(1-16*x^4)^(1/8)*...]

PROG

(PARI) a(n)=polcoeff(prod(k=1, n, 1/(1-2^k*x^k+x*O(x^n))^(2/2^k)), n)

CROSSREFS

Cf. A110153, A110154, A110155, A110156.

Sequence in context: A105635 A178320 A025257 * A175654 A017922 A077937

Adjacent sequences:  A110149 A110150 A110151 * A110153 A110154 A110155

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Jul 14 2005

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 16 15:58 EST 2012. Contains 205937 sequences.