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A153732
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Binomial transform of A109747
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1
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1, 3, 8, 19, 41, 84, 171, 347, 690, 1385, 2825, 5438, 11077, 24535, 33720, 102623, 350605, -1120228, 5876775, 11232063, -256532422, 1748895117, -4057110163, -42841409122, 605093026361
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Equals triple binomial transform of A014182.
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FORMULA
| A007318 * A109747.
E.g.f.: exp(2*x+1-exp(-x)) = 1+3*x+8*x^2/2!+19*x^3/3!+....
a(n) = exp(1)*sum {k >= 0}(-1)^k*(2-k)^n/k!. Cf. A126617. - Peter Bala Oct 28 2011.
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EXAMPLE
| a(3) = 19 = (1, 3, 3, 1) dot (1, 2, 3, 3) = (1 + 6 + 9 + 3); where A109747 =
(1, 2, 3, 3, 2, 3, 5, -4, 5, 55, -212,...)
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CROSSREFS
| Cf. A109747, A014182. A126617.
Sequence in context: A006380 A182818 A095846 * A089924 A178457 A072916
Adjacent sequences: A153729 A153730 A153731 * A153733 A153734 A153735
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KEYWORD
| sign
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 31 2008
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