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A141429 A triangular sequence of coefficient weights: k = 1; l = 1; t(n,m,k,l)=(m + l)*((2 - l)*n - m + k). +0
1
2, 4, 3, 6, 6, 4, 8, 9, 8, 5, 10, 12, 12, 10, 6, 12, 15, 16, 15, 12, 7, 14, 18, 20, 20, 18, 14, 8, 16, 21, 24, 25, 24, 21, 16, 9, 18, 24, 28, 30, 30, 28, 24, 18, 10, 20, 27, 32, 35, 36, 35, 32, 27, 20, 11 (list; table; graph; listen)
OFFSET

1,1

COMMENT

Row sums are:

{2, 7, 16, 30, 50, 77, 112, 156, 210, 275}

FORMULA

k = 1; l = 1; t(n,m,k,l)=(m + l)*((2 - l)*n - m + k).

EXAMPLE

{2},

{4, 3},

{6, 6, 4},

{8, 9, 8, 5},

{10, 12, 12, 10, 6},

{12, 15, 16, 15, 12, 7},

{14, 18, 20, 20, 18, 14, 8},

{16, 21, 24, 25, 24, 21, 16, 9},

{18, 24, 28, 30, 30, 28, 24, 18, 10},

{20, 27, 32, 35, 36, 35, 32, 27, 20, 11}

MATHEMATICA

Clear[T, n, m, a, l, k] T[n_, m_, k_, l_] = (m + l)*((2 - l)*n - m + k); k = 1; l = 1; a = Table[Table[T[n, m, k, l], {m, 1, n}], {n, 1, 10}]; Flatten[a] Table[Sum[T[n, m, 1, 1], {m, 1, n}], {n, 1, 10}]; TableForm[a];

CROSSREFS

Sequence in context: A087559 A091850 A143273 this_sequence A039819 A083050 A083044

Adjacent sequences: A141426 A141427 A141428 this_sequence A141430 A141431 A141432

KEYWORD

nonn,uned,tabl

AUTHOR

Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Aug 06 2008

page 1

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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