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A203155 (n-1)-st elementary symmetric function of {3, 3, 4, 4, 5, 5,..., Floor[(n+5)/2]}. 2
1, 6, 33, 168, 984, 5640, 37440, 246240, 1853280, 13880160, 117391680, 989936640, 9315855360, 87500528640, 907925760000, 9408462336000, 106785133056000, 1210848984576000, 14928525545472000, 183922359312384000, 2448351304261632000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..21.

EXAMPLE

Let esf abbreviate "elementary symmetric function".  Then

0th esf of {3}:  1

1st esf of {3,3}:  3+3=6

2nd esf of {3,3,4} is 3*3+3*4+3*4=33

MATHEMATICA

f[k_] := Floor[(k + 5)/2]; t[n_] := Table[f[k], {k, 1, n}]

a[n_] := SymmetricPolynomial[n - 1, t[n]]

Table[a[n], {n, 1, 22}]  (* A203155 *)

CROSSREFS

Cf. A203152, A203153, A203154.

Sequence in context: A281930 A282371 A291004 * A084153 A086314 A086091

Adjacent sequences:  A203152 A203153 A203154 * A203156 A203157 A203158

KEYWORD

nonn

AUTHOR

Clark Kimberling, Dec 29 2011

STATUS

approved

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Last modified November 18 22:36 EST 2019. Contains 329305 sequences. (Running on oeis4.)