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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A135748 a(n) = Sum_{k=0..n} binomial(n,k)*2^(k^2). 3
1, 3, 21, 567, 67689, 33887403, 68921796861, 563431696713567, 18451249599365935569, 2418017680197896730749523, 1267674779574792745831097365221, 2658469935859419140387217204140789127, 22300777100086187451068223319189800258419769 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..50

MATHEMATICA

Table[Sum[Binomial[n, k]2^k^2, {k, 0, n}], {n, 0, 15}] (* Harvey P. Dale, May 30 2013 *)

PROG

(PARI) {a(n)=sum(k=0, n, binomial(n, k)*2^(k^2))}

CROSSREFS

Sequence in context: A032469 A006927 A014375 * A145386 A135327 A128679

Adjacent sequences:  A135745 A135746 A135747 * A135749 A135750 A135751

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Nov 27 2007

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy .

Last modified December 4 21:09 EST 2016. Contains 278755 sequences.