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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A108488 Expansion of 1/sqrt(1-2x-3x^2-4x^3+4x^4). 0
1, 1, 3, 9, 23, 69, 203, 601, 1815, 5493, 16731, 51225, 157367, 485093, 1499499, 4646233, 14427095, 44880981, 139849979, 436419737, 1363713015, 4266417221, 13362194571, 41891406681, 131452430999, 412835452213, 1297543367835 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

In general, sum{k=0..n, C(n-k,k)^2*a^k*b^(n-k)} has expansion 1/sqrt(1-2bx-(2ab-b^2)x^2-2a*b^2*x^3+(ab)^2*x^4).

FORMULA

a(n)=sum{k=0..n, C(n-k, k)^2*2^k}.

CROSSREFS

Cf. A051286, A108480.

Sequence in context: A146661 A004666 A196488 * A018334 A146392 A147508

Adjacent sequences:  A108485 A108486 A108487 * A108489 A108490 A108491

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jun 04 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 17 14:50 EST 2012. Contains 206050 sequences.