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Search: id:A143749
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| A143749 |
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Series reversion of x(1-x)/(1+9x) |
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+0
3
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| 0, 1, 10, 110, 1310, 16610, 221010, 3051510, 43357110, 630098810, 9324499610, 140046944510, 2129440330510, 32716182966610, 507115641523810, 7920881045935110, 124548017695545510, 1969917348711212010
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Hankel transform of a(n) is A143750. Hankel transform of a(n+1) is 10^C(n+1,2).
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FORMULA
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G.f.: (1-9x-sqrt(1-22x+81x^2))/2; a(n)=sum{k=0..n-1, C(n+k-1,2k)*A000108(k)*9^(n-k-1)}; a(n+1)=a(n+1)=sum{k=0..n, C(2n-k,k)*A000108(n-k)*9^k}; a(n+1)=0^n+(1/(n+0^n))*sum{k=0..n, C(n,k)*C(n,k-1)*10^k};
a(n+1)=Sum_{k, 0<=k<=n}10^k*A090181(n,k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 14 2008]
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CROSSREFS
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Sequence in context: A105279 A057093 A055276 this_sequence A049398 A055530 A108487
Adjacent sequences: A143746 A143747 A143748 this_sequence A143750 A143751 A143752
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Aug 30 2008
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