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A143182 Center inverted symmetrical triangle sequence: t(n,m)=1 + Abs[(1 + n - m) - (1 + m)]. +0
1
1, 2, 2, 3, 1, 3, 4, 2, 2, 4, 5, 3, 1, 3, 5, 6, 4, 2, 2, 4, 6, 7, 5, 3, 1, 3, 5, 7, 8, 6, 4, 2, 2, 4, 6, 8, 9, 7, 5, 3, 1, 3, 5, 7, 9, 10, 8, 6, 4, 2, 2, 4, 6, 8, 10, 11, 9, 7, 5, 3, 1, 3, 5, 7, 9, 11 (list; graph; listen)
OFFSET

1,2

COMMENT

Row sums are:

{2, 4, 8, 12, 18, 24, 32, 40, 50, 60}.

FORMULA

t(n,m)=1 + Abs[(1 + n - m) - (1 + m)].

EXAMPLE

{1},

{2, 2},

{3, 1, 3},

{4, 2, 2, 4},

{5, 3, 1, 3, 5},

{6, 4, 2, 2, 4, 6},

{7, 5, 3, 1, 3, 5, 7},

{8, 6, 4, 2, 2, 4, 6, 8},

{9, 7, 5, 3, 1, 3, 5, 7, 9},

{10, 8, 6, 4, 2, 2, 4, 6, 8, 10},

{11, 9, 7, 5, 3, 1, 3, 5, 7, 9, 11}

MATHEMATICA

Clear[t, n, m]; t[n_, m_] = 1 + Abs[(1 + n - m) - (1 + m)]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]

CROSSREFS

Adjacent sequences: A143179 A143180 A143181 this_sequence A143183 A143184 A143185

Sequence in context: A135621 A077268 A131821 this_sequence A128715 A113881 A072030

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 17 2008

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Last modified January 7 11:41 EST 2009. Contains 152824 sequences.


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