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A157634 Triangle read by rows: T(n,m)= 1 in the first column and on the diagonal, otherwise 5*n*m*(n-m)*(n^2-n*m+m^2). 0
1, 1, 1, 1, 30, 1, 1, 210, 210, 1, 1, 780, 960, 780, 1, 1, 2100, 2850, 2850, 2100, 1, 1, 4650, 6720, 7290, 6720, 4650, 1, 1, 9030, 13650, 15540, 15540, 13650, 9030, 1, 1, 15960, 24960, 29400, 30720, 29400, 24960, 15960, 1, 1, 26280, 42210, 51030, 54900 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are 2+n^2*(n^2-1)*(4*n^2-1)/6 for n>=1:

  1, 2, 32, 422, 2522, 9902, 30032, 76442, 171362, 348842, 658352,...

LINKS

Table of n, a(n) for n=0..49.

EXAMPLE

1;

1, 1;

1, 30, 1;

1, 210, 210, 1;

1, 780, 960, 780, 1;

1, 2100, 2850, 2850, 2100, 1;

1, 4650, 6720, 7290, 6720, 4650, 1;

1, 9030, 13650, 15540, 15540, 13650, 9030, 1;

1, 15960, 24960, 29400, 30720, 29400, 24960, 15960, 1;

1, 26280, 42210, 51030, 54900, 54900, 51030, 42210, 26280, 1;

1, 40950, 67200, 82950, 91200, 93750, 91200, 82950, 67200, 40950, 1;

MATHEMATICA

t[n_, m_] = If[n*m*(n - m) == 0, 1, n^5 - (m^5 + (n - m)^5)];

Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];

CROSSREFS

Sequence in context: A040902 A040901 A040900 * A040913 A040914 A040912

Adjacent sequences:  A157631 A157632 A157633 * A157635 A157636 A157637

KEYWORD

nonn,tabl,easy

AUTHOR

Roger L. Bagula, Mar 03 2009

STATUS

approved

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Last modified January 25 22:56 EST 2020. Contains 331270 sequences. (Running on oeis4.)