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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A103439 Sum[i=0..n, Sum[j=0..i, (i-j+1)^j ]]. 3
0, 1, 3, 7, 16, 39, 105, 315, 1048, 3829, 15207, 65071, 297840, 1449755, 7468541, 40555747, 231335960, 1381989881, 8623700811, 56078446615, 379233142800, 2662013133295, 19362917622001, 145719550012299, 1133023004941272 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Partial sums of A026898.

Antidiagonal sums of array A103438.

Row sums of A123490. - Paul Barry, Oct 01 2006

LINKS

Table of n, a(n) for n=0..24.

FORMULA

a(n+1) = sum{k=0..n, ((k+2)^(n-k)+k)/(k+1)}; - Paul Barry, Oct 01 2006

G.f.: (G(0)-1)/(1-x) where G(k) =  1 + x*(2*k*x-1)/(2*k*x+x-1 - x*(2*k*x+x-1)^2/(x*(2*k*x+x-1) + (2*k*x+2*x-1)/G(k+1) )); (recursively defined continued fraction). - Sergei N. Gladkovskii, Jan 26 2013

CROSSREFS

Sequence in context: A176604 A014140 A271788 * A147321 A103030 A263316

Adjacent sequences:  A103436 A103437 A103438 * A103440 A103441 A103442

KEYWORD

nonn

AUTHOR

Ralf Stephan, Feb 11 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 | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 24 01:20 EDT 2018. Contains 316541 sequences. (Running on oeis4.)