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A062988
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a(n) = binomial(n+6,5) - 1.
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8
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5, 20, 55, 125, 251, 461, 791, 1286, 2001, 3002, 4367, 6187, 8567, 11627, 15503, 20348, 26333, 33648, 42503, 53129, 65779, 80729, 98279, 118754, 142505, 169910, 201375, 237335, 278255, 324631
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OFFSET
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0,1
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COMMENTS
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In the Frey-Sellers reference this sequence is called {(n+2) over 5}_{4}, n >= 0.
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LINKS
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FORMULA
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a(n) = A062985(n+2, 5)= (n+1)*(n^4 + 19*n^3 + 136*n^2 + 444*n + 600)/5!.
G.f.: N(5;1, x)/(1-x)^6 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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MAPLE
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MATHEMATICA
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PROG
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(PARI) { for (n=0, 1000, write("b062988.txt", n, " ", binomial(n + 6, 5) - 1) ) } \\ Harry J. Smith, Aug 15 2009
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CROSSREFS
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Sixth column (r=5) of FS(5) staircase array A062985.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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