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 A176567 A symmetrical triangle sequence:t(n,m)=Binomial[Binomial[n, 2] + m, m] + Binomial[Binomial[n, 2] + n - m, n - m] - Binomial[n + Binomial[n, 2], n] 1
 1, 1, 1, 1, 1, 1, 1, -6, -6, 1, 1, -119, -154, -119, 1, 1, -1991, -2651, -2651, -1991, 1, 1, -38744, -50252, -52632, -50252, -38744, 1, 1, -888008, -1118007, -1169366, -1169366, -1118007, -888008, 1, 1, -23535791, -28915001, -30018509, -30188420 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS Row sums are: {1, 2, 3, -10, -390, -9282, -230622, -6350760, -195127020, -6658198690, -250521040770,...}. Connectedness function is: Binomial[n,2]=n*(n-1)/2 LINKS FORMULA t(n,m)=Binomial[Binomial[n, 2] + m, m] + Binomial[Binomial[n, 2] + n - m, n - m] - Binomial[n + Binomial[n, 2], n] EXAMPLE {1}, {1, 1}, {1, 1, 1}, {1, -6, -6, 1}, {1, -119, -154, -119, 1}, {1, -1991, -2651, -2651, -1991, 1}, {1, -38744, -50252, -52632, -50252, -38744, 1}, {1, -888008, -1118007, -1169366, -1169366, -1118007, -888008, 1}, {1, -23535791, -28915001, -30018509, -30188420, -30018509, -28915001, -23535791, 1}, {1, -708930471, -853938318, -880908210, -885322347, -885322347, -880908210, -853938318, -708930471, 1}, { 1, -23930713124, -28362325639, -29114847574, -29230428094, -29244411910, -29230428094, -29114847574, -28362325639, -23930713124, 1} MATHEMATICA t[n_, m_] = Binomial[ Binomial[n, 2] + m, m] + Binomial[Binomial[n, 2] + n - m, n - m] - Binomial[n + Binomial[n, 2], n]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%] CROSSREFS Sequence in context: A155868 A322622 A176565 * A283100 A065493 A133890 Adjacent sequences:  A176564 A176565 A176566 * A176568 A176569 A176570 KEYWORD sign,tabl,uned AUTHOR Roger L. Bagula, Apr 22 2010 STATUS approved

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Last modified May 8 08:39 EDT 2021. Contains 343666 sequences. (Running on oeis4.)