A093446 Largest member of the n-th row of the triangular triangle (A093445).

1, 3, 9, 18, 33, 54, 82, 120, 165, 225, 294, 378, 476, 588, 720, 865, 1035, 1221, 1430, 1662, 1914, 2197, 2499, 2835, 3195, 3585, 4008, 4456, 4947, 5463, 6021, 6612, 7239, 7910, 8610, 9366, 10153, 10989, 11868, 12788, 13764, 14775, 15850, 16965, 18135

Offset: 1

Author

Amarnath Murthy, Apr 02 2004

Keywords

• nonn

Comments

The largest terms is near the middle term at about 42.265%. Lim a(n) -> 0.19245*n^3

Examples

			The row for n = 4 is (1+2+3+4), (5+6+7), (8+9), 10 => 10 18 17 10. The largest member is 18 hence a(4) = 18.
		

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A093445, A001571.

Programs

Haskell

a093446 = maximum . a093445_row  -- Reinhard Zumkeller, Oct 03 2012

Mathematica

T[n_] := n(n + 1)/2; TT[n_, k_] := T[k*n - T[k - 1]] - T[(k - 1)*n - T[k - 2]]; Max[ # ] & /@ Table[ TT[n, k], {n, 45}, {k, n}]

Extensions

Edited, corrected and extended by Robert G. Wilson v, Apr 24 2004