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 A181174 The "Row2" sums of the powers-of-2 triangle A000079 3
 1, 2, 24, 320, 11264, 688128, 90177536, 22817013760, 11751030521856, 11997870882291712, 24607668363952390144, 100719222642454151823360, 825394103341888069030641664, 13520781109074923362448234774528 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The a(n) represent the "Row2" sums, see A180662, of the powers-of-2 triangle A000079. This sequence is related to the Jacobsthal and triangular numbers. LINKS FORMULA a(n) = 2^(n*(n+1)/2)*(2^(n+1)+(-1)^n)/3. a(n) = A001045(n+1)*2^A000217(n). MATHEMATICA f[k_] := (2^k) (-1)^(k + 1) t[n_] := Table[f[k], {k, 1, n}] a[n_] := SymmetricPolynomial[n - 1, t[n]] Table[a[n], {n, 1, 22}]    (* A181174 signed *) (* Clark Kimberling, Dec 30 2011 *) CROSSREFS Sequence in context: A119491 A001864 A099045 * A209290 A333715 A081065 Adjacent sequences:  A181171 A181172 A181173 * A181175 A181176 A181177 KEYWORD easy,nonn AUTHOR Johannes W. Meijer, Oct 10 2010 STATUS approved

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Last modified July 30 19:33 EDT 2021. Contains 346359 sequences. (Running on oeis4.)