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A113280 A symmetrical triangle of coefficients: t(n,m)=(n - m)*(n - m + 2)*m*(m + 2) + 1. 0

%I

%S 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,

%T 193,106,1,1,145,281,361,361,281,145,1,1,190,385,526,577,526,385,190,

%U 1,1,241,505,721,841,841,721,505,241,1,1,298,641,946,1153,1226,1153,946

%N A symmetrical triangle of coefficients: t(n,m)=(n - m)*(n - m + 2)*m*(m + 2) + 1.

%C Row sums are:

%C {1, 2, 12, 52, 159, 390, 826, 1576, 2781, 4618, 7304}.

%F t(n,m)=(n - m)*(n - m + 2)*m*(m + 2) + 1.

%e {1},

%e {1, 1},

%e {1, 10, 1},

%e {1, 25, 25, 1},

%e {1, 46, 65, 46, 1},

%e {1, 73, 121, 121, 73, 1},

%e {1, 106, 193, 226, 193, 106, 1},

%e {1, 145, 281, 361, 361, 281, 145, 1},

%e {1, 190, 385, 526, 577, 526, 385, 190, 1},

%e {1, 241, 505, 721, 841, 841, 721, 505, 241, 1},

%e {1, 298, 641, 946, 1153, 1226, 1153, 946, 641, 298, 1}

%t 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[%]

%K nonn,tabl

%O 1,5

%A _Roger L. Bagula_, Aug 25 2008

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Last modified January 20 21:46 EST 2022. Contains 350472 sequences. (Running on oeis4.)