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A110576
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Sequence is {a(0,n)}, where a(m,0)=1, a(m,n) = a(m,n-1) + a(m-1,n), a(0,n+1) = a(n,n).
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4
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1, 1, 2, 7, 29, 132, 648, 3407, 19109, 113946, 719896, 4802318, 33712717, 248285282, 1912928549, 15379305080, 128729241725, 1119519156562, 10097102345993, 94285391374568, 910145431036423, 9069616636456648, 93179779321299479
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Equals eigensequence of triangle A100100. [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 02 2009]
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FORMULA
| a(0, n+1) = sum{k=0 to n} binomial(2n-k-1, n-1) a(0, k)
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EXAMPLE
| a(0,n): 1,1,2,7,29
a(1,n): 1,2,4,11
a(2,n): 1,3,7,18
a(3,n): 1,4,11,29
Since a(3,3) = 29, a(0,4) also is 29.
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CROSSREFS
| Cf. A110577, A110578, A110579, A110580.
A100100 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 02 2009]
Sequence in context: A200755 A132262 A007852 * A074600 A064641 A183608
Adjacent sequences: A110573 A110574 A110575 * A110577 A110578 A110579
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KEYWORD
| easy,nonn
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AUTHOR
| Leroy Quet Jul 28 2005
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EXTENSIONS
| More terms from Ryan Propper (rpropper(AT)stanford.edu), Sep 25 2005
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