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Search: id:A115153
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| A115153 |
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Sixth diagonal (M=6) sequence of triangle A113647, called Y(2,1). |
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+0
2
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| 1, 127, 1665, 16255, 141441, 1163135, 9273473, 72613759, 562430081, 4327407487, 33161347201, 253517365119, 1935665528961, 14771256557439, 112715410440321, 860346088685439, 6570305359184001, 50209563856600959, 383989436028813441
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OFFSET
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0,2
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FORMULA
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a(n)= A113647(n+5, n+1), n>=0.
G.f.: ((-2 + 16*x - 24*x^2 + x^5) + 2*(1 - 10*x + 24*x^2 - 8*x^3)*c(2*x))/((x^5)*(1+x)), with the o.g.f. c(x):=(1-sqrt(1-4*x))/(2*x) of A000108 (Catalan numbers).
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CROSSREFS
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Sequence in context: A038994 A068023 A025598 this_sequence A075937 A075938 A022523
Adjacent sequences: A115150 A115151 A115152 this_sequence A115154 A115155 A115156
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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), Jan 13 2006
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