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Search: id:A123961
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| A123961 |
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A triangular sequence from the omega2 Jacobian Elliptic Modular function. |
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+0
1
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| 0, -4, 0, -8, 1, 28, -12, 4, 52, 132, -16, 9, 84, 209, 384, -20, 16, 124, 304, 556, 880, -24, 25, 172, 417, 760, 1201, 1740, -28, 36, 228, 548, 996, 1572, 2276, 3108, -32, 49, 292, 697, 1264, 1993, 2884, 3937, 5152, -36, 64, 364, 864, 1564, 2464, 3564, 4864, 6364, 8064, -40, 81, 444, 1049, 1896, 2985, 4316, 5889
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Normally these functions are taken as implicit polynomials in two variables set equal to zero. Row Sum: Table[Sum[t[n, m], {n, 0, m}], {m, 0, 10}] {0, -4, 21, 176, 670, 1860, 4291, 8736, 16236, 28140, 46145}
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REFERENCES
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Eric Weisstein's World of Mathematics, "Modular Equation." http://mathworld.wolfram.com/ModularEquation.html
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FORMULA
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t(n,m) =n^2*(1 + m)^2 - 4*m
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EXAMPLE
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Triangle begins:
{0},
{-4, 0},
{-8, 1, 28},
{-12, 4, 52, 132},
{-16, 9,84, 209, 384},
{-20, 16, 124, 304, 556, 880},
{-24, 25, 172, 417, 760, 1201, 1740},
{-28, 36, 228, 548, 996, 1572, 2276, 3108},
{-32, 49, 292, 697,1264, 1993, 2884, 3937, 5152},
{-36, 64, 364, 864, 1564, 2464, 3564, 4864, 6364, 8064},
{-40, 81, 444, 1049, 1896, 2985, 4316, 5889, 7704, 9761, 12060}
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MATHEMATICA
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t[n_, m_] = n^2*(1 + m)^2 - 4*m a = Table[Table[t[n, m], {n, 0, m}], {m, 0, 10}] Flatten[a]
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CROSSREFS
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Adjacent sequences: A123958 A123959 A123960 this_sequence A123962 A123963 A123964
Sequence in context: A073467 A021249 A010638 this_sequence A020763 A137323 A021075
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KEYWORD
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uned,probation,tabl,sign
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Oct 28 2006
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