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Search: id:A111995
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| A111995 |
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Seventh convolution of Schroeder's (second problem) numbers A001003(n), n>=0. |
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+0
1
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| 1, 7, 42, 238, 1316, 7196, 39158, 212738, 1155889, 6287015, 34249404, 186920468, 1022134288, 5600420336, 30745867316, 169116129308, 931937277257, 5144687596447, 28449040406262, 157571572143538, 874089046798212
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: ((1+x-sqrt(1-6*x+x^2))/(4*x))^7.
a(n)= (7/n)*sum(binomial(n, k)*binomial(n+k+6, k-1), k=1..n) = 7*hypergeom([1-n, n+8], [2], -1), n>=1, a(0)=1.
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CROSSREFS
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Cf. Seventh column of convolution triangle A011117.
Sequence in context: A094429 A022731 A092072 this_sequence A050152 A030240 A054890
Adjacent sequences: A111992 A111993 A111994 this_sequence A111996 A111997 A111998
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Sep 12 2005
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