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A105557
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Row sums of triangle A105556, in which column n equals the row sums of A001263^n, which is the n-th matrix power of the Narayana triangle A001263.
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1
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1, 2, 4, 10, 32, 128, 626, 3681, 25574, 206402, 1908996, 20024149, 236142157, 3106393358, 45265833590, 726249472784, 12761749378320, 244453274012442, 5082582988294164, 114258645210526486, 2767462674168199303
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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PROG
| (PARI) {a(n)=local(N=matrix(n+1, n+1, m, j, if(m>=j, binomial(m-1, j-1)*binomial(m, j-1)/j))); sum(k=0, n, sum(j=0, n-k, (N^k)[n-k+1, j+1]))}
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CROSSREFS
| Cf. A001263, A105556.
Sequence in context: A098830 A121277 A009284 * A166741 A054091 A056593
Adjacent sequences: A105554 A105555 A105556 * A105558 A105559 A105560
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Apr 14 2005
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