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Search: id:A062989
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| 0, 5, 25, 80, 205, 456, 917, 1708, 2994, 4995, 7997, 12364, 18551, 27118, 38745, 54248, 74596, 100929, 134577, 177080, 230209, 295988, 376717, 474996, 593750, 736255, 906165, 1107540, 1344875, 1623130, 1947761, 2324752, 2760648, 3262589, 3838345, 4496352
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OFFSET
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0,2
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COMMENT
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In the Frey-Sellers reference this sequence is called {(n+2) over 6}_{4}, n >= 0.
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REFERENCES
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D. D. Frey and J. A. Sellers, Generalizing Bailey's generalization of the Catalan numbers, The Fibonacci Quarterly, 39 (2001) 142-148.
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FORMULA
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a(n)= A062985(n+2, 6)= (n+1)*(n+2)*(n^4+24*n^3+221*n^2+954*n+1800)/6!.
G.f.: N(5;1, x)/(1-x)^7 with N(5;1, x)= 5-10*x+10*x^2-5*x^3+x^4 = (1-(1-x)^5)/x polynomial of second row of A062986.
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CROSSREFS
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Seventh column (r=6) of FS(5) staircase array A062985.
Partial sums of A062988.
Sequence in context: A147130 A078234 A056374 this_sequence A122679 A147114 A131537
Adjacent sequences: A062986 A062987 A062988 this_sequence A062990 A062991 A062992
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jul 12 2001
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EXTENSIONS
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Simpler definition from Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 08 2006
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