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A048779
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Coefficients of power series for (1-(1-8x)^(1/4))/2.
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3
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1, 3, 14, 77, 462, 2926, 19228, 129789, 894102, 6258714, 44379972, 318056466, 2299792908, 16755634044, 122874649656
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = 2^(n-1)*3*7*11*...*(4n-5)/n! = 2a(n-1)(32a(n-2)+a(n-1))/(18a(n-2)-a(n-1))
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EXAMPLE
| (1-(1-8x)^(1/4))/2 = x + 3x^2 + 14x^3 + 77x^4 + 462x^5 + ...
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CROSSREFS
| Related to Catalan numbers (A000108) which are coefficients for (1-(1-4x)^(1/2))/2.
Equals (1/2) * A004984.
Sequence in context: A198621 A198649 A198656 * A052186 A074538 A001564
Adjacent sequences: A048776 A048777 A048778 * A048780 A048781 A048782
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KEYWORD
| nonn
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AUTHOR
| Jan Kristian Haugland (jankrihau(AT)hotmail.com)
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