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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A076132 a(1) = 1; for n > 1, a(n) = Sum{a(n-k)^k | 0<k<n}. 1
1, 1, 2, 4, 10, 36, 218, 2804, 108074, 20114564, 36066331898, 1729247065742228, 9575643422153401723466, 50068381739089423185661226445092, 5264344550636729304011557445558608029761914394 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..20

EXAMPLE

a(2) = a(1)^1 = 1^1 = 1.

a(3) = a(2)^1 + a(1)^2 = 1^1 + 1^2 = 2.

a(4) = a(3)^1 + a(2)^2 + a(1)^3 = 2^1 + 1^2 + 1^3 = 4.

a(5) = a(4)^1 + a(3)^2 + a(2)^3 + a(1)^4 = 4^1 + 2^2 + 1^3 + 1^4 = 10.

PROG

(Haskell)

a076132 n = a076132_list !! (n-1)

a076132_list = 1 : f [1] where

   f xs = y : f (y : xs) where y = sum $ zipWith (^) xs [1..]

-- Reinhard Zumkeller, Mar 10 2013

CROSSREFS

Sequence in context: A210778 A210779 A002577 * A047142 A081080 A109460

Adjacent sequences:  A076129 A076130 A076131 * A076133 A076134 A076135

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Oct 30 2002

EXTENSIONS

Corrected by Don Reble, Nov 20 2006

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 15 22:02 EST 2019. Contains 330012 sequences. (Running on oeis4.)