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A143132
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Binomial transform of [1, 5, 15, 35, 70, 0, 0, 0, ...].
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0
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1, 6, 26, 96, 321, 876, 2006, 4026, 7321, 12346, 19626, 29756, 43401, 61296, 84246, 113126, 148881, 192526, 245146, 307896, 382001, 468756, 569526, 685746, 818921, 970626, 1142506, 1336276, 1553721, 1796696, 2067126, 2367006, 2698401, 3063446
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OFFSET
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1,2
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COMMENTS
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Conjecture: rightmost digit of terms is cyclic: (1, 6, 6, 6, ... repeat).
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LINKS
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FORMULA
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Binomial transform of [1, 5, 15, 35, 70, 0, 0, 0, ...] where (1, 5, 15, 35, 70) = row 4 of triangle A046899.
O.g.f.: (1 + x + 6x^2 + 16x^3 + 46x^4)/(1-x)^5.
a(n) = (552 - 1190*n + 895*n^2 - 280*n^3 + 35*n^4)/12. - T. D. Noe, Aug 22 2008
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EXAMPLE
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a(4) = 96 = (1, 3, 3, 1) dot (1, 5, 15, 35) = (1 + 15 + 45 + 35).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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