This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A216234 Cumulated number of increasing admissible cuts of rooted plane trees of size n. 0
 0, 1, 2, 8, 44, 312, 2772, 30024, 385688, 5737232, 96959396, 1834244296, 38390799592, 880648730416, 21968596282440, 592083291341520, 17144219069647920, 530774988154571040, 17495673315094986180, 611738880367145595720, 22614424027640541372360 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS In concurrency theory, a(n) is also the cumulated sizes of computation trees induced by interleaved concurrent processes of size n. REFERENCES O. Bodini, A. Genitrini and F. Peschanski. Enumeration and Random Generation of Concurrent Computations. In proc. 23rd International Meeting on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA'12), Discrete Mathematics and Theoretical Computer Science, pp 83-96, 2012. LINKS O. Bodini, A. Genitrini, F. Peschanski, A Quantitative Study of Pure Parallel Processes, arXiv preprint arXiv:1407.1873, 2014 FORMULA P-recurrence: (16*n-64*n^3)*a(n)+(12+72*n+112*n^2+32*n^3)*a(n+1)+(-26-62*n-4*n^3-36*n^2)*a(n+2)+(5+7*n+2*n^2)*a(n+3) = 0; a(0)=0; a(1)=1; a(2)=2. a(n) ~ 2^(n-1/2) * n^(n-1) / exp(n-1). - Vaclav Kotesovec, Mar 08 2014 MATHEMATICA Flatten[{0, RecurrenceTable[{-16*(-3+n)*(-7+2*n)*(-5+2*n)*a[-3+n]+4*(-5+2*n)*(3-12*n+4*n^2)*a[-2+n]-2*(28-23*n+2*n^3)*a[-1+n]+(-2+n)*(-1+2*n)*a[n]==0, a[1]==1, a[2]==2, a[3]==8}, a, {n, 1, 20}]}] (* Vaclav Kotesovec, Mar 08 2014 *) PROG (Python) def a(n):    if n < 3:       return n    l = [0, 1, 2]    for i in range(n-2):       l[i%3] = ( (16*i-64*i**3)*l[i%3]+(12+72*i+112*i**2+32*i**3)*l[(i+1)%3]+(-26-62*i-4*i**3-36*i**2)*l[(i+2)%3] ) / (-5-7*i-2*i**2)    return l[i%3] CROSSREFS Cf. A007852. Sequence in context: A212913 A321628 A005363 * A123307 A293905 A244430 Adjacent sequences:  A216231 A216232 A216233 * A216235 A216236 A216237 KEYWORD nonn AUTHOR Antoine Genitrini, Mar 14 2013 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.

Last modified May 26 13:05 EDT 2019. Contains 323586 sequences. (Running on oeis4.)