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 A113280 A symmetrical triangle of coefficients: t(n,m)=(n - m)*(n - m + 2)*m*(m + 2) + 1. 0
 1, 1, 1, 1, 10, 1, 1, 25, 25, 1, 1, 46, 65, 46, 1, 1, 73, 121, 121, 73, 1, 1, 106, 193, 226, 193, 106, 1, 1, 145, 281, 361, 361, 281, 145, 1, 1, 190, 385, 526, 577, 526, 385, 190, 1, 1, 241, 505, 721, 841, 841, 721, 505, 241, 1, 1, 298, 641, 946, 1153, 1226, 1153, 946 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Row sums are: {1, 2, 12, 52, 159, 390, 826, 1576, 2781, 4618, 7304}. LINKS FORMULA t(n,m)=(n - m)*(n - m + 2)*m*(m + 2) + 1. EXAMPLE {1}, {1, 1}, {1, 10, 1}, {1, 25, 25, 1}, {1, 46, 65, 46, 1}, {1, 73, 121, 121, 73, 1}, {1, 106, 193, 226, 193, 106, 1}, {1, 145, 281, 361, 361, 281, 145, 1}, {1, 190, 385, 526, 577, 526, 385, 190, 1}, {1, 241, 505, 721, 841, 841, 721, 505, 241, 1}, {1, 298, 641, 946, 1153, 1226, 1153, 946, 641, 298, 1} MATHEMATICA Clear[t, n, m] t[n_, m_] = (n - m)*(n - m + 2)*m*(m + 2) + 1; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%] CROSSREFS Sequence in context: A146773 A202941 A166341 * A159041 A154979 A146765 Adjacent sequences:  A113277 A113278 A113279 * A113281 A113282 A113283 KEYWORD nonn,tabl AUTHOR Roger L. Bagula, Aug 25 2008 STATUS approved

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Last modified November 30 17:12 EST 2021. Contains 349424 sequences. (Running on oeis4.)