A203193 (n-1)-st elementary symmetric function of the first n terms of (1,2,1,3,1,4,1,5,...)=A133622.

1, 3, 5, 17, 23, 98, 122, 634, 754, 4644, 5364, 38268, 43308, 351504, 391824, 3566736, 3929616, 39659040, 43287840, 479795040, 519711840, 6276458880, 6755460480, 88299987840, 94527008640, 1329605141760, 1416783432960

Offset

1,2

Links

Table of n, a(n) for n=1..27.

Mathematica

f[k_] := If[Mod[k, 2] == 1, 1, 1 + k/2];
t[n_] := Table[f[k], {k, 1, n}]
a[n_] := SymmetricPolynomial[n - 1, t[n]]
Table[a[n], {n, 1, 33}] (* A203193 *)

Crossrefs

Cf. A133622.

Sequence in context: A024862 A025106 A333199 * A079649 A354724 A255401

Adjacent sequences: A203190 A203191 A203192 * A203194 A203195 A203196

Keyword

nonn

Author

Clark Kimberling, Dec 30 2011

Status

approved