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A155862
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A 'Morgan Voyce' transform of A007854.
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0
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1, 4, 22, 130, 790, 4870, 30274, 189202, 1186702, 7461982, 47007034, 296527162, 1872479350, 11833642006, 74833075570, 473463268642, 2996771766046, 18974162475598, 120167557286314, 761214481604554, 4822871486667526
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Hankel transform is 3^n*2^C(n+1,2). Image of A007854 by Riordan array (1/(1-x),x/(1-x)^2).
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FORMULA
| G.f.: 2/(3*sqrt(1-6x+x^2)+x-1);
G.f.: 1/(1-x-3x/(1-x-x/(1-x-x/(1-x-x/(1-x-x/(1-.... (continued fraction);
a(n)=sum{k=0..n, C(n+k,2k)*A007854(k)}=sum{k=0..n, A085478(n,k)*A007854(k)}.
Conjecture: 2*n*a(n) +(18-25*n)*a(n-1) + 41*(2*n-3)*a(n-2) +(57-25*n)*a(n-3) +2*(n-3)*a(n-4) =0.- R. J. Mathar, Nov 14 2011
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CROSSREFS
| Cf.: A001850.
Sequence in context: A100525 A199033 A086682 * A088536 A066380 A180899
Adjacent sequences: A155859 A155860 A155861 * A155863 A155864 A155865
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jan 29 2009
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