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Search: id:A046527
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| 1, 1, 1, 2, 5, 1, 5, 22, 9, 1, 14, 93, 58, 13, 1, 42, 386, 325, 110, 17, 1, 132, 1586, 1686, 765, 178, 21, 1, 429, 6476, 8330, 4746, 1477, 262, 25, 1, 1430, 26333, 39796, 27314, 10654, 2525, 362, 29, 1, 4862, 106762, 185517, 149052, 69930, 20754
(list; table; graph; listen)
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OFFSET
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0,4
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FORMULA
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a(n, m) = binomial(n, m-1)*(4^(n-m+1)-binomial(2*n, n)/binomial(2*(m-1), m-1))/2, n >= m >= 0. G.f. for column m: c(x)*(x/(1-4*x))^m, where c(x) = g.f. for Catalan numbers (A000108).
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CROSSREFS
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The m=0..6 column sequences are: A000108, A000346, A018218, A042941, A042985, A045505, A045622. Row sums: A046814.
Sequence in context: A011034 A021803 A077382 this_sequence A008343 A093952 A079614
Adjacent sequences: A046524 A046525 A046526 this_sequence A046528 A046529 A046530
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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