login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A110154 G.f.: A(x) = Product_{n>=1} 1/(1 - 4^n*x^n)^(4/4^n); self-convolution of A110156. 4
1, 4, 20, 84, 380, 1540, 6796, 27380, 117020, 476260, 2002220, 8063316, 33957180, 136489156, 566211660, 2290272692, 9463603036, 38042178340, 157211980652, 631321594900, 2594532576636, 10457495255940, 42791736547980 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

EXAMPLE

A(x) = 1 + 4*x + 20*x^2 + 84*x^3 + 380*x^4 + 1540*x^5 +... =

1/[(1-4*x)*(1-16*x^2)^(1/4)*(1-64*x^3)^(1/16)*(1-256*x^4)^(1/64)*...]

PROG

(PARI) a(n)=polcoeff(prod(k=1, n, 1/(1-4^k*x^k+x*O(x^n))^(4/4^k)), n)

CROSSREFS

Cf. A110152, A110153, A110155, A110156.

Sequence in context: A084240 A080674 A246936 * A158608 A282084 A262768

Adjacent sequences:  A110151 A110152 A110153 * A110155 A110156 A110157

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jul 14 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 28 14:14 EDT 2022. Contains 357070 sequences. (Running on oeis4.)