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

1,2

Comments

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

Links

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

Example

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.

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}]

Prog

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

Crossrefs

Cf. A093445, A001571.

Sequence in context: A194114 A127759 A064843 * A256524 A210970 A293406

Adjacent sequences: A093443 A093444 A093445 * A093447 A093448 A093449

Keyword

nonn

Author

Amarnath Murthy, Apr 02 2004

Extensions

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

Status

approved