|
Search: id:A103287
|
|
|
| A103287 |
|
Main diagonal of triangle A103286, in which row n+1 is formed by sorting, in ascending order, the result of the convolution of row n with {2,1}. |
|
+0
2
|
|
| 1, 2, 5, 12, 30, 77, 202, 540, 1464, 4014, 11101, 30910, 86542, 243416, 687364, 1947736, 5536216, 15779646, 45088304, 129124925, 370550378, 1065368994, 3068348448, 8851297414, 25571726480, 73981434516, 214317561452
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
a(n) ~ 3^n*log_3(n)/(18n) (conjecture).
|
|
PROGRAM
|
(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]=2*A[k][1]; B[k+1]=A[k][k]; for(i=2, k, B[i]=2*A[k][i]+A[k][i-1]); A[k+1]=vecsort(B)); return(A[n+1][n+1])}
|
|
CROSSREFS
|
Cf. A103286, A103285.
Sequence in context: A086622 A024851 A145267 this_sequence A136704 A120895 A101785
Adjacent sequences: A103284 A103285 A103286 this_sequence A103288 A103289 A103290
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jan 28 2005
|
|
|
Search completed in 0.002 seconds
|
