

A141432


Triangle T(n,k) = (k+1)*(nk1) read by rows, 1<=k<=n.


0



2, 0, 3, 2, 0, 4, 4, 3, 0, 5, 6, 6, 4, 0, 6, 8, 9, 8, 5, 0, 7, 10, 12, 12, 10, 6, 0, 8, 12, 15, 16, 15, 12, 7, 0, 9, 14, 18, 20, 20, 18, 14, 8, 0, 10, 16, 21, 24, 25, 24, 21, 16, 9, 0, 11
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OFFSET

1,1


COMMENTS

Row sums are: 2, 3, 2, 2, 10, 23, 42, 68, 102, 145, = n*(n^213)/6.


LINKS

Table of n, a(n) for n=1..55.


EXAMPLE

2;
0, 3;
2, 0, 4;
4, 3, 0, 5;
6, 6, 4, 0, 6;
8, 9, 8, 5,0, 7;
10, 12, 12, 10, 6, 0, 8;
12, 15, 16, 15, 12, 7, 0, 9;
14, 18, 20, 20, 18, 14, 8, 0, 10;
16, 21, 24, 25, 24, 21, 16, 9, 0, 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

Cf. A003991, A004247.
Sequence in context: A127479 A284124 A187637 * A115241 A154559 A269133
Adjacent sequences: A141429 A141430 A141431 * A141433 A141434 A141435


KEYWORD

tabl,easy,sign


AUTHOR

Roger L. Bagula and Gary W. Adamson, Aug 06 2008


STATUS

approved



