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A064226
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a(n) = (9*n^2 + 13*n + 6) / 2.
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7
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3, 14, 34, 63, 101, 148, 204, 269, 343, 426, 518, 619, 729, 848, 976, 1113, 1259, 1414, 1578, 1751, 1933, 2124, 2324, 2533, 2751, 2978, 3214, 3459, 3713, 3976, 4248, 4529, 4819, 5118, 5426, 5743, 6069, 6404, 6748, 7101, 7463, 7834, 8214, 8603, 9001, 9408
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OFFSET
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0,1
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COMMENTS
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Ehrhart polynomial of open quadrilateral with vertices (0,2),(2,3),(3,1),(2,0). - Michael Somos, Jul 22 2006
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LINKS
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FORMULA
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a(n) = 3*C(n, 0)+11*C(n, 1)+9*C(n, 2); binomial transform of (3, 11, 9, 0, 0, 0, .....). G.f.:(3+5*x+x^2)/(1-x)^3. - Paul Barry, Mar 15 2003
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MAPLE
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MATHEMATICA
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PROG
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(PARI) {a(n) = 3 + n * (9*n + 13) / 2}; /* Michael Somos, Jul 22 2006 */
(PARI) for (n=0, 1000, write("b064226.txt", n, " ", 3 + n*(9*n + 13)/2) ) \\ Harry J. Smith, Sep 10 2009
(Magma) I:=[3, 14, 34]; [n le 3 select I[n] else 3*Self(n-1) - 3*Self(n-2) + Self(n-3): n in [1..50]]; // Vincenzo Librandi, Jul 19 2015
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CROSSREFS
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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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