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A096812
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Forwards row convergent of triangle A096811, in which A096811(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-2).
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3
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1, 1, 1, 2, 4, 8, 16, 34, 72, 156, 336, 746, 1652, 3696, 8330, 18816, 42904, 98166, 225148, 518386, 1199966, 2778270, 6472492, 15097226, 35311946, 82744656, 194406728, 457526278, 1078889548, 2549790238, 6034719500, 14305107700
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Backwards row convergent of A096811 is A096813.
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FORMULA
| a(0)=a(1)=1; for n>1, a(n) = Sum_{k=0..n-2} A096811(n-2, n-k-2)*a(k+1).
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PROG
| (PARI) {A096811(n, k)=if(n<k|k<0, 0, if(k<=1|k==n, 1, sum(j=1, k-1, A096811(n-k, j)*A096811(k-2, k-j-1))))} \ {a(n)=if(n<0, 0, if(n<=1, 1, sum(k=0, n-2, T(n-2, n-k-2)*a(k+1))))}
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CROSSREFS
| Cf. A096811, A096813.
Sequence in context: A161869 A088325 A006210 * A006981 A003427 A045648
Adjacent sequences: A096809 A096810 A096811 * A096813 A096814 A096815
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Jul 20 2004
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