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A057103
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Triangle of congrua: T(n,k) = 4*n*k(n^2-k^2) with n>k>0 and starting at T(2,1) = 24. A055096(n)^2 + a(n) is a square, as is A055096(n)^2 - a(n).
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3
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24, 96, 120, 240, 384, 336, 480, 840, 960, 720, 840, 1536, 1944, 1920, 1320, 1344, 2520, 3360, 3696, 3360, 2184, 2016, 3840, 5280, 6144, 6240, 5376, 3360, 2880, 5544, 7776, 9360, 10080, 9720, 8064, 4896, 3960, 7680, 10920, 13440, 15000, 15360, 14280, 11520, 6840
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OFFSET
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2,1
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COMMENTS
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Refers to A057102, which had an incorrect description and has been replaced by A256418. As a result the present sequence should be re-checked. - N. J. A. Sloane, Apr 06 2015
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LINKS
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EXAMPLE
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T(2,1) = 4*2*1*(4-1) = 5^2-1^2 = 7^2-5^2 = 24.
Triangle begins:
24;
96, 120;
240, 384, 336;
480, 840, 960, 720;
840, 1536, 1944, 1920, 1320;
...
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MATHEMATICA
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T[n_, k_] := 4 n k (n^2 - k^2);
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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