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Search: id:A103285
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| A103285 |
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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}. |
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+0
3
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| 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; listen)
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OFFSET
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0,3
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FORMULA
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a(n) ~ 2^n*log_2(n)/(4n).
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PROGRAM
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(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])}
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CROSSREFS
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Cf. A103284.
Adjacent sequences: A103282 A103283 A103284 this_sequence A103286 A103287 A103288
Sequence in context: A054650 A022857 A000691 this_sequence A000049 A000050 A050253
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jan 28 2005
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