login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A103285 Main diagonal of triangle A103284, in which row n+1 is formed by sorting, in ascending order, the result of the convolution of row n with {1,1}. 4
1, 1, 2, 3, 5, 9, 16, 29, 53, 97, 179, 333, 623, 1172, 2215, 4201, 7992, 15241, 29122, 55745, 106879, 205223, 394637, 759973, 1465589, 2830273, 5473068, 10597365, 20544860, 39876331, 77481582, 150700968, 293380151, 571619362, 1114581628 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Paul D. Hanna, Table of n, a(n) for n = 0..1000

FORMULA

a(n) ~ 2^n*log_2(n)/(4n).

PROG

(PARI) {a(n)=local(A=vector(n+1, i, vector(i)), B); A[1][1]=1; for(k=1, n, B=vector(k+1); B[1]=1; B[k+1]=A[k][k]; for(i=2, k, B[i]=A[k][i]+A[k][i-1]); A[k+1]=vecsort(B)); return(A[n+1][n+1])}

(Haskell)

a103285 = last . a103284_row -- Reinhard Zumkeller, Nov 19 2015

CROSSREFS

Cf. A103284.

Sequence in context: A000691 A192804 A255071 * A000049 A000050 A050253

Adjacent sequences: A103282 A103283 A103284 * A103286 A103287 A103288

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jan 28 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 9 23:05 EST 2022. Contains 358710 sequences. (Running on oeis4.)