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Search: id:A105848
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| 1, 2, 1, 5, 3, 1, 14, 9, 4, 1, 42, 29, 14, 5, 1, 132, 99, 50, 20, 6, 1, 429, 351, 186, 78, 27, 7, 1, 1430, 1275, 714, 311, 114, 35, 8, 1, 4862, 4707, 2796, 1271, 483, 159, 44, 9, 1, 16796, 17577, 11082, 5282, 2082, 712, 214, 54, 10, 1, 58786, 66197, 44250, 22160
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Product of binomial matrix C(n,k) and A105632. Row sums are A105849.
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FORMULA
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Column k has g.f. (sum{j=0..k-1, C(k-1, j)C(j)x^(2j)/(1-4x)^(j+1/2)}+0^k*(1-2x-sqrt(1-4x))/(2x^2))(x/(1-x))^k
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EXAMPLE
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Triangle begins
1;
2,1;
5,3,1;
14,9,4,1;
42,29,14,5,1;
132,99,50,20,6,1;
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CROSSREFS
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Sequence in context: A135233 A125170 A054445 this_sequence A048471 A067345 A143409
Adjacent sequences: A105845 A105846 A105847 this_sequence A105849 A105850 A105851
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 22 2005
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