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A062749
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Sixth column (r=5) of FS(3) staircase array A062745.
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1
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12, 43, 108, 228, 431, 753, 1239, 1944, 2934, 4287, 6094, 8460, 11505, 15365, 20193, 26160, 33456, 42291, 52896, 65524, 80451, 97977, 118427, 142152, 169530, 200967, 236898, 277788, 324133, 376461
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| In the Frey-Sellers reference this sequence is called {(n+3) over 5}_{2}, n >= 0.
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REFERENCES
| D.D. Frey, J. A. Sellers, Generalizing Bailey's generalization of the Catalan numbers, The Fibonacci Quarterly, 39 (2001) 142-148.
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FORMULA
| a(n)= A062745(n+3, 5)= -3+binomial(n+4, 3)*(n^2+16*n+75)/20 = (n+1)*(n^4+24*n^3+221*n^2+894*n+1440)/5!.
G.f.: N(3;2, x)/(1-x)^6 with N(3;2, x)= 12-29*x+30*x^2-15*x^3+3*x^4, polynomial of the third row of A062746.
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CROSSREFS
| Sequence in context: A082829 A003357 A004466 * A004636 A136279 A012471
Adjacent sequences: A062746 A062747 A062748 * A062750 A062751 A062752
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jul 12 2001
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