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Search: id:A093446
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| A093446 |
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Largest member of the n-th row of the triangular triangle (A093445). |
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+0
4
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| 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
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The largest terms is near the middle term at about 42.265%. Lim a(n) -> 0.19245*n^3
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EXAMPLE
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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.
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MATHEMATICA
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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}]
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CROSSREFS
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Cf. A093445, A001571.
Adjacent sequences: A093443 A093444 A093445 this_sequence A093447 A093448 A093449
Sequence in context: A045943 A127759 A064843 this_sequence A132920 A127645 A000241
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 02 2004
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EXTENSIONS
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Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 24 2004
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