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A024196
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a(n) = 2nd elementary symmetric function of the first n+1 odd positive integers.
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5
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3, 23, 86, 230, 505, 973, 1708, 2796, 4335, 6435, 9218, 12818, 17381, 23065, 30040, 38488, 48603, 60591, 74670, 91070, 110033, 131813, 156676, 184900, 216775, 252603, 292698, 337386, 387005, 441905, 502448, 569008, 641971, 721735, 808710, 903318
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| n(n+1)(3n^2+5n+1)/6.
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MATHEMATICA
| f[k_] := 2 k - 1; t[n_] := Table[f[k], {k, 1, n}]
a[n_] := SymmetricPolynomial[2, t[n]]
Table[a[n], {n, 2, 50}] (* A024196 *)
(* Clark Kimberling, Dec 31 2011 *)
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CROSSREFS
| Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 08 2009: (Start)
Equals third right hand column of A028338 triangle.
Equals third left hand column of A109692 triangle.
Equals third right hand column of A161198 triangle divided by 2^m.
(End)
Sequence in context: A201482 A032017 A197453 * A196339 A196318 A112459
Adjacent sequences: A024193 A024194 A024195 * A024197 A024198 A024199
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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